
Time bar (total: 10.5s)
| 1× | search |
| Probability | Valid | Unknown | Precondition | Infinite | Domain | Can't | Iter |
|---|---|---|---|---|---|---|---|
| 0% | 0% | 99.8% | 0.2% | 0% | 0% | 0% | 0 |
| 0% | 0% | 99.8% | 0.2% | 0% | 0% | 0% | 1 |
| 0% | 0% | 99.8% | 0.2% | 0% | 0% | 0% | 2 |
| 0% | 0% | 99.8% | 0.2% | 0% | 0% | 0% | 3 |
| 0% | 0% | 99.8% | 0.2% | 0% | 0% | 0% | 4 |
| 75% | 74.9% | 25% | 0.2% | 0% | 0% | 0% | 5 |
| 75% | 74.9% | 25% | 0.2% | 0% | 0% | 0% | 6 |
| 75% | 74.9% | 25% | 0.2% | 0% | 0% | 0% | 7 |
| 87.5% | 87.3% | 12.5% | 0.2% | 0% | 0% | 0% | 8 |
| 93.8% | 93.6% | 6.2% | 0.2% | 0% | 0% | 0% | 9 |
| 93.8% | 93.6% | 6.2% | 0.2% | 0% | 0% | 0% | 10 |
| 93.8% | 93.6% | 6.2% | 0.2% | 0% | 0% | 0% | 11 |
| 96.9% | 96.7% | 3.1% | 0.2% | 0% | 0% | 0% | 12 |
Compiled 17 to 13 computations (23.5% saved)
| 1.5s | 8 256× | 0 | valid |
ival-mult: 761.0ms (83.5% of total)ival-add: 73.0ms (8% of total)ival-div: 68.0ms (7.5% of total)ival-true: 6.0ms (0.7% of total)ival-assert: 3.0ms (0.3% of total)| 1× | egg-herbie |
| 2 210× | times-frac |
| 1 210× | div-sub |
| 1 068× | distribute-rgt-in |
| 1 028× | distribute-lft-in |
| 988× | unsub-neg |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 60 | 218 |
| 1 | 132 | 210 |
| 2 | 209 | 210 |
| 3 | 377 | 210 |
| 4 | 914 | 210 |
| 5 | 2299 | 210 |
| 6 | 3076 | 210 |
| 7 | 3886 | 210 |
| 8 | 4759 | 210 |
| 9 | 5156 | 210 |
| 10 | 5284 | 210 |
| 11 | 5444 | 210 |
| 12 | 5444 | 210 |
| 13 | 5480 | 210 |
| 14 | 5496 | 210 |
| 15 | 5496 | 210 |
| 16 | 5856 | 210 |
| 17 | 6830 | 210 |
| 18 | 6982 | 210 |
| 19 | 6994 | 210 |
| 20 | 6998 | 210 |
| 21 | 7006 | 210 |
| 22 | 7014 | 210 |
| 23 | 7014 | 210 |
| 24 | 7122 | 210 |
| 25 | 7170 | 210 |
| 26 | 7170 | 210 |
| 0 | 11 | 15 |
| 1 | 15 | 15 |
| 0 | 15 | 13 |
| 1× | iter limit |
| 1× | saturated |
| 1× | saturated |
| Inputs |
|---|
(/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) |
| Outputs |
|---|
(/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) |
(/.f64 (fma.f64 a c (*.f64 b d)) (fma.f64 c c (*.f64 d d))) |
| Ground Truth | Overpredictions | Example | Underpredictions | Example | Subexpression |
|---|---|---|---|---|---|
| 101 | 1 | (1.3007655672376019e+48 1.5442450642347686e-52 2.275391724627925e-93 3.869048348382242e+270) | 1 | (9.74938849022057e-139 1.1287955081125284e-194 -9.90592860777166e-160 -1.4396809408440755e-213) | (/.f64 (+.f64 (*.f64 a c) (*.f64 b d)) (+.f64 (*.f64 c c) (*.f64 d d))) |
| 1 | 0 | - | 0 | - | (+.f64 (*.f64 a c) (*.f64 b d)) |
| 0 | 0 | - | 0 | - | (+.f64 (*.f64 c c) (*.f64 d d)) |
| 0 | 0 | - | 0 | - | a |
| 0 | 0 | - | 0 | - | d |
| 0 | 0 | - | 0 | - | (*.f64 d d) |
| 0 | 0 | - | 0 | - | (*.f64 c c) |
| 0 | 0 | - | 0 | - | (*.f64 a c) |
| 0 | 0 | - | 0 | - | c |
| 0 | 0 | - | 0 | - | b |
| 0 | 0 | - | 0 | - | (*.f64 b d) |
| Operator | Subexpression | Explanation | Count | |
|---|---|---|---|---|
/.f64 | (/.f64 (+.f64 (*.f64 a c) (*.f64 b d)) (+.f64 (*.f64 c c) (*.f64 d d))) | o/o | 45 | 0 |
| ↳ | (+.f64 (*.f64 a c) (*.f64 b d)) | overflow | 55 | |
| ↳ | (*.f64 a c) | overflow | 35 | |
| ↳ | (*.f64 b d) | overflow | 22 | |
| ↳ | (+.f64 (*.f64 c c) (*.f64 d d)) | overflow | 114 | |
| ↳ | (*.f64 c c) | overflow | 73 | |
| ↳ | (*.f64 d d) | overflow | 59 | |
/.f64 | (/.f64 (+.f64 (*.f64 a c) (*.f64 b d)) (+.f64 (*.f64 c c) (*.f64 d d))) | n/o | 36 | 0 |
| ↳ | (+.f64 (*.f64 c c) (*.f64 d d)) | overflow | 114 | |
| ↳ | (*.f64 c c) | overflow | 73 | |
| ↳ | (*.f64 d d) | overflow | 59 | |
/.f64 | (/.f64 (+.f64 (*.f64 a c) (*.f64 b d)) (+.f64 (*.f64 c c) (*.f64 d d))) | o/n | 10 | 0 |
| ↳ | (+.f64 (*.f64 a c) (*.f64 b d)) | overflow | 55 | |
| ↳ | (*.f64 a c) | overflow | 35 | |
| ↳ | (*.f64 b d) | overflow | 22 | |
/.f64 | (/.f64 (+.f64 (*.f64 a c) (*.f64 b d)) (+.f64 (*.f64 c c) (*.f64 d d))) | n/u | 6 | 0 |
| ↳ | (+.f64 (*.f64 c c) (*.f64 d d)) | underflow | 12 | |
| ↳ | (*.f64 c c) | underflow | 59 | |
| ↳ | (*.f64 d d) | underflow | 70 | |
/.f64 | (/.f64 (+.f64 (*.f64 a c) (*.f64 b d)) (+.f64 (*.f64 c c) (*.f64 d d))) | u/u | 4 | 0 |
| ↳ | (+.f64 (*.f64 a c) (*.f64 b d)) | underflow | 4 | |
| ↳ | (*.f64 a c) | underflow | 27 | |
| ↳ | (*.f64 b d) | underflow | 26 | |
| ↳ | (+.f64 (*.f64 c c) (*.f64 d d)) | underflow | 12 | |
| ↳ | (*.f64 c c) | underflow | 59 | |
| ↳ | (*.f64 d d) | underflow | 70 | |
+.f64 | (+.f64 (*.f64 a c) (*.f64 b d)) | nan-rescue | 1 | 0 |
| ↳ | (*.f64 a c) | overflow | 35 | |
| ↳ | (*.f64 b d) | overflow | 22 |
| Predicted + | Predicted - | |
|---|---|---|
| + | 100 | 1 |
| - | 1 | 154 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 100 | 0 | 1 |
| - | 1 | 0 | 154 |
| number | freq |
|---|---|
| 0 | 155 |
| 1 | 100 |
| 2 | 1 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 1 | 0 | 0 |
| - | 0 | 0 | 0 |
| 51.0ms | 512× | 0 | valid |
Compiled 132 to 48 computations (63.6% saved)
ival-mult: 15.0ms (60.2% of total)ival-add: 6.0ms (24.1% of total)ival-div: 3.0ms (12% of total)ival-true: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)Compiled 4 to 4 computations (0% saved)
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 62.1% | (/.f64 (+.f64 (*.f64 a c) (*.f64 b d)) (+.f64 (*.f64 c c) (*.f64 d d))) |
Compiled 19 to 11 computations (42.1% saved)
| 1× | egg-herbie |
Found 4 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | cost-diff | 0 | (*.f64 a c) |
| ✓ | cost-diff | 0 | (/.f64 (+.f64 (*.f64 a c) (*.f64 b d)) (+.f64 (*.f64 c c) (*.f64 d d))) |
| ✓ | cost-diff | 128 | (+.f64 (*.f64 c c) (*.f64 d d)) |
| ✓ | cost-diff | 128 | (+.f64 (*.f64 a c) (*.f64 b d)) |
| 12× | *-lowering-*.f32 |
| 12× | *-lowering-*.f64 |
| 12× | accelerator-lowering-fma.f32 |
| 12× | accelerator-lowering-fma.f64 |
| 8× | +-lowering-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 11 | 45 |
| 1 | 15 | 45 |
| 0 | 15 | 41 |
| 1× | iter limit |
| 1× | saturated |
| Inputs |
|---|
(/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) |
(+ (* a c) (* b d)) |
(* a c) |
a |
c |
(* b d) |
b |
d |
(+ (* c c) (* d d)) |
(* c c) |
(* d d) |
| Outputs |
|---|
(/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) |
(/.f64 (fma.f64 a c (*.f64 b d)) (fma.f64 c c (*.f64 d d))) |
(+ (* a c) (* b d)) |
(fma.f64 a c (*.f64 b d)) |
(* a c) |
(*.f64 a c) |
a |
c |
(* b d) |
(*.f64 b d) |
b |
d |
(+ (* c c) (* d d)) |
(fma.f64 c c (*.f64 d d)) |
(* c c) |
(*.f64 c c) |
(* d d) |
(*.f64 d d) |
Found 4 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | accuracy | 100.0% | (*.f64 a c) |
| ✓ | accuracy | 100.0% | (+.f64 (*.f64 c c) (*.f64 d d)) |
| ✓ | accuracy | 99.7% | (+.f64 (*.f64 a c) (*.f64 b d)) |
| ✓ | accuracy | 62.4% | (/.f64 (+.f64 (*.f64 a c) (*.f64 b d)) (+.f64 (*.f64 c c) (*.f64 d d))) |
| 20.0ms | 256× | 0 | valid |
Compiled 47 to 13 computations (72.3% saved)
ival-mult: 6.0ms (53.5% of total)ival-add: 3.0ms (26.7% of total)ival-div: 2.0ms (17.8% of total)ival-true: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| Inputs |
|---|
#<alt (+ (* a c) (* b d))> |
#<alt (+ (* c c) (* d d))> |
#<alt (/ (+ (* a c) (* b d)) (+ (* c c) (* d d)))> |
#<alt (* a c)> |
| Outputs |
|---|
#<alt (* b d)> |
#<alt (+ (* a c) (* b d))> |
#<alt (+ (* a c) (* b d))> |
#<alt (+ (* a c) (* b d))> |
#<alt (* a c)> |
#<alt (* a (+ c (/ (* b d) a)))> |
#<alt (* a (+ c (/ (* b d) a)))> |
#<alt (* a (+ c (/ (* b d) a)))> |
#<alt (* a c)> |
#<alt (* -1 (* a (+ (* -1 c) (* -1 (/ (* b d) a)))))> |
#<alt (* -1 (* a (+ (* -1 c) (* -1 (/ (* b d) a)))))> |
#<alt (* -1 (* a (+ (* -1 c) (* -1 (/ (* b d) a)))))> |
#<alt (* b d)> |
#<alt (+ (* a c) (* b d))> |
#<alt (+ (* a c) (* b d))> |
#<alt (+ (* a c) (* b d))> |
#<alt (* a c)> |
#<alt (* c (+ a (/ (* b d) c)))> |
#<alt (* c (+ a (/ (* b d) c)))> |
#<alt (* c (+ a (/ (* b d) c)))> |
#<alt (* a c)> |
#<alt (* -1 (* c (+ (* -1 a) (* -1 (/ (* b d) c)))))> |
#<alt (* -1 (* c (+ (* -1 a) (* -1 (/ (* b d) c)))))> |
#<alt (* -1 (* c (+ (* -1 a) (* -1 (/ (* b d) c)))))> |
#<alt (* a c)> |
#<alt (+ (* a c) (* b d))> |
#<alt (+ (* a c) (* b d))> |
#<alt (+ (* a c) (* b d))> |
#<alt (* b d)> |
#<alt (* b (+ d (/ (* a c) b)))> |
#<alt (* b (+ d (/ (* a c) b)))> |
#<alt (* b (+ d (/ (* a c) b)))> |
#<alt (* b d)> |
#<alt (* -1 (* b (+ (* -1 d) (* -1 (/ (* a c) b)))))> |
#<alt (* -1 (* b (+ (* -1 d) (* -1 (/ (* a c) b)))))> |
#<alt (* -1 (* b (+ (* -1 d) (* -1 (/ (* a c) b)))))> |
#<alt (* a c)> |
#<alt (+ (* a c) (* b d))> |
#<alt (+ (* a c) (* b d))> |
#<alt (+ (* a c) (* b d))> |
#<alt (* b d)> |
#<alt (* d (+ b (/ (* a c) d)))> |
#<alt (* d (+ b (/ (* a c) d)))> |
#<alt (* d (+ b (/ (* a c) d)))> |
#<alt (* b d)> |
#<alt (* -1 (* d (+ (* -1 b) (* -1 (/ (* a c) d)))))> |
#<alt (* -1 (* d (+ (* -1 b) (* -1 (/ (* a c) d)))))> |
#<alt (* -1 (* d (+ (* -1 b) (* -1 (/ (* a c) d)))))> |
#<alt (pow d 2)> |
#<alt (+ (pow c 2) (pow d 2))> |
#<alt (+ (pow c 2) (pow d 2))> |
#<alt (+ (pow c 2) (pow d 2))> |
#<alt (pow c 2)> |
#<alt (* (pow c 2) (+ 1 (/ (pow d 2) (pow c 2))))> |
#<alt (* (pow c 2) (+ 1 (/ (pow d 2) (pow c 2))))> |
#<alt (* (pow c 2) (+ 1 (/ (pow d 2) (pow c 2))))> |
#<alt (pow c 2)> |
#<alt (* (pow c 2) (+ 1 (/ (pow d 2) (pow c 2))))> |
#<alt (* (pow c 2) (+ 1 (/ (pow d 2) (pow c 2))))> |
#<alt (* (pow c 2) (+ 1 (/ (pow d 2) (pow c 2))))> |
#<alt (pow c 2)> |
#<alt (+ (pow c 2) (pow d 2))> |
#<alt (+ (pow c 2) (pow d 2))> |
#<alt (+ (pow c 2) (pow d 2))> |
#<alt (pow d 2)> |
#<alt (* (pow d 2) (+ 1 (/ (pow c 2) (pow d 2))))> |
#<alt (* (pow d 2) (+ 1 (/ (pow c 2) (pow d 2))))> |
#<alt (* (pow d 2) (+ 1 (/ (pow c 2) (pow d 2))))> |
#<alt (pow d 2)> |
#<alt (* (pow d 2) (+ 1 (/ (pow c 2) (pow d 2))))> |
#<alt (* (pow d 2) (+ 1 (/ (pow c 2) (pow d 2))))> |
#<alt (* (pow d 2) (+ 1 (/ (pow c 2) (pow d 2))))> |
#<alt (/ (* b d) (+ (pow c 2) (pow d 2)))> |
#<alt (+ (/ (* a c) (+ (pow c 2) (pow d 2))) (/ (* b d) (+ (pow c 2) (pow d 2))))> |
#<alt (+ (/ (* a c) (+ (pow c 2) (pow d 2))) (/ (* b d) (+ (pow c 2) (pow d 2))))> |
#<alt (+ (/ (* a c) (+ (pow c 2) (pow d 2))) (/ (* b d) (+ (pow c 2) (pow d 2))))> |
#<alt (/ (* a c) (+ (pow c 2) (pow d 2)))> |
#<alt (* a (+ (/ c (+ (pow c 2) (pow d 2))) (/ (* b d) (* a (+ (pow c 2) (pow d 2))))))> |
#<alt (* a (+ (/ c (+ (pow c 2) (pow d 2))) (/ (* b d) (* a (+ (pow c 2) (pow d 2))))))> |
#<alt (* a (+ (/ c (+ (pow c 2) (pow d 2))) (/ (* b d) (* a (+ (pow c 2) (pow d 2))))))> |
#<alt (/ (* a c) (+ (pow c 2) (pow d 2)))> |
#<alt (* -1 (* a (+ (* -1 (/ c (+ (pow c 2) (pow d 2)))) (* -1 (/ (* b d) (* a (+ (pow c 2) (pow d 2))))))))> |
#<alt (* -1 (* a (+ (* -1 (/ c (+ (pow c 2) (pow d 2)))) (* -1 (/ (* b d) (* a (+ (pow c 2) (pow d 2))))))))> |
#<alt (* -1 (* a (+ (* -1 (/ c (+ (pow c 2) (pow d 2)))) (* -1 (/ (* b d) (* a (+ (pow c 2) (pow d 2))))))))> |
#<alt (/ b d)> |
#<alt (+ (/ b d) (/ (* a c) (pow d 2)))> |
#<alt (+ (* c (+ (* -1 (/ (* b c) (pow d 3))) (/ a (pow d 2)))) (/ b d))> |
#<alt (+ (* c (+ (* c (- (* -1 (/ (* a c) (pow d 4))) (/ b (pow d 3)))) (/ a (pow d 2)))) (/ b d))> |
#<alt (/ a c)> |
#<alt (/ (+ a (/ (* b d) c)) c)> |
#<alt (/ (+ a (+ (* -1 (/ (* a (pow d 2)) (pow c 2))) (/ (* b d) c))) c)> |
#<alt (/ (- (+ a (+ (* -1 (/ (* b (pow d 3)) (pow c 3))) (/ (* b d) c))) (/ (* a (pow d 2)) (pow c 2))) c)> |
#<alt (/ a c)> |
#<alt (* -1 (/ (+ (* -1 a) (* -1 (/ (* b d) c))) c))> |
#<alt (* -1 (/ (+ (* -1 a) (* -1 (/ (+ (* -1 (/ (* a (pow d 2)) c)) (* b d)) c))) c))> |
#<alt (* -1 (/ (+ (* -1 a) (* -1 (/ (+ (* -1 (/ (- (/ (* b (pow d 3)) c) (* -1 (* a (pow d 2)))) c)) (* b d)) c))) c))> |
#<alt (/ (* a c) (+ (pow c 2) (pow d 2)))> |
#<alt (+ (/ (* a c) (+ (pow c 2) (pow d 2))) (/ (* b d) (+ (pow c 2) (pow d 2))))> |
#<alt (+ (/ (* a c) (+ (pow c 2) (pow d 2))) (/ (* b d) (+ (pow c 2) (pow d 2))))> |
#<alt (+ (/ (* a c) (+ (pow c 2) (pow d 2))) (/ (* b d) (+ (pow c 2) (pow d 2))))> |
#<alt (/ (* b d) (+ (pow c 2) (pow d 2)))> |
#<alt (* b (+ (/ d (+ (pow c 2) (pow d 2))) (/ (* a c) (* b (+ (pow c 2) (pow d 2))))))> |
#<alt (* b (+ (/ d (+ (pow c 2) (pow d 2))) (/ (* a c) (* b (+ (pow c 2) (pow d 2))))))> |
#<alt (* b (+ (/ d (+ (pow c 2) (pow d 2))) (/ (* a c) (* b (+ (pow c 2) (pow d 2))))))> |
#<alt (/ (* b d) (+ (pow c 2) (pow d 2)))> |
#<alt (* -1 (* b (+ (* -1 (/ d (+ (pow c 2) (pow d 2)))) (* -1 (/ (* a c) (* b (+ (pow c 2) (pow d 2))))))))> |
#<alt (* -1 (* b (+ (* -1 (/ d (+ (pow c 2) (pow d 2)))) (* -1 (/ (* a c) (* b (+ (pow c 2) (pow d 2))))))))> |
#<alt (* -1 (* b (+ (* -1 (/ d (+ (pow c 2) (pow d 2)))) (* -1 (/ (* a c) (* b (+ (pow c 2) (pow d 2))))))))> |
#<alt (/ a c)> |
#<alt (+ (/ a c) (/ (* b d) (pow c 2)))> |
#<alt (+ (* d (+ (* -1 (/ (* a d) (pow c 3))) (/ b (pow c 2)))) (/ a c))> |
#<alt (+ (* d (+ (* d (- (* -1 (/ (* b d) (pow c 4))) (/ a (pow c 3)))) (/ b (pow c 2)))) (/ a c))> |
#<alt (/ b d)> |
#<alt (/ (+ b (/ (* a c) d)) d)> |
#<alt (/ (+ b (+ (* -1 (/ (* b (pow c 2)) (pow d 2))) (/ (* a c) d))) d)> |
#<alt (/ (- (+ b (+ (* -1 (/ (* a (pow c 3)) (pow d 3))) (/ (* a c) d))) (/ (* b (pow c 2)) (pow d 2))) d)> |
#<alt (/ b d)> |
#<alt (* -1 (/ (+ (* -1 b) (* -1 (/ (* a c) d))) d))> |
#<alt (* -1 (/ (+ (* -1 b) (* -1 (/ (+ (* -1 (/ (* b (pow c 2)) d)) (* a c)) d))) d))> |
#<alt (* -1 (/ (+ (* -1 b) (* -1 (/ (+ (* -1 (/ (- (/ (* a (pow c 3)) d) (* -1 (* b (pow c 2)))) d)) (* a c)) d))) d))> |
#<alt (* a c)> |
#<alt (* a c)> |
#<alt (* a c)> |
#<alt (* a c)> |
#<alt (* a c)> |
#<alt (* a c)> |
#<alt (* a c)> |
#<alt (* a c)> |
#<alt (* a c)> |
#<alt (* a c)> |
#<alt (* a c)> |
#<alt (* a c)> |
#<alt (* a c)> |
#<alt (* a c)> |
#<alt (* a c)> |
#<alt (* a c)> |
#<alt (* a c)> |
#<alt (* a c)> |
#<alt (* a c)> |
#<alt (* a c)> |
#<alt (* a c)> |
#<alt (* a c)> |
#<alt (* a c)> |
#<alt (* a c)> |
36 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | c | @ | 0 | (* a c) |
| 1.0ms | c | @ | inf | (+ (* c c) (* d d)) |
| 1.0ms | a | @ | 0 | (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) |
| 1.0ms | b | @ | 0 | (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) |
| 0.0ms | b | @ | 0 | (+ (* a c) (* b d)) |
| 1× | batch-egg-rewrite |
| 5 970× | accelerator-lowering-fma.f32 |
| 5 970× | accelerator-lowering-fma.f64 |
| 5 332× | *-lowering-*.f32 |
| 5 332× | *-lowering-*.f64 |
| 2 426× | /-lowering-/.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 11 | 32 |
| 1 | 51 | 32 |
| 2 | 428 | 32 |
| 3 | 5062 | 32 |
| 0 | 8752 | 28 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(+ (* a c) (* b d)) |
(+ (* c c) (* d d)) |
(/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) |
(* a c) |
| Outputs |
|---|
(+.f64 (*.f64 a c) (*.f64 b d)) |
(+.f64 (*.f64 b d) (*.f64 a c)) |
(+.f64 (/.f64 (*.f64 a (*.f64 a (*.f64 c c))) (-.f64 (*.f64 a c) (*.f64 b d))) (neg.f64 (/.f64 (*.f64 b (*.f64 b (*.f64 d d))) (-.f64 (*.f64 a c) (*.f64 b d))))) |
(+.f64 (neg.f64 (*.f64 b (neg.f64 d))) (neg.f64 (neg.f64 (*.f64 a c)))) |
(+.f64 (neg.f64 (neg.f64 (*.f64 a c))) (neg.f64 (*.f64 b (neg.f64 d)))) |
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 1 binary64) (fma.f64 a c (*.f64 b d)))) #s(literal -1 binary64))) |
(-.f64 #s(literal 0 binary64) (neg.f64 (fma.f64 a c (*.f64 b d)))) |
(-.f64 (/.f64 (*.f64 a (*.f64 a (*.f64 c c))) (-.f64 (*.f64 a c) (*.f64 b d))) (/.f64 (*.f64 b (*.f64 b (*.f64 d d))) (-.f64 (*.f64 a c) (*.f64 b d)))) |
(-.f64 (/.f64 (*.f64 b (*.f64 b (*.f64 d d))) (-.f64 (*.f64 b d) (*.f64 a c))) (/.f64 (*.f64 a (*.f64 a (*.f64 c c))) (-.f64 (*.f64 b d) (*.f64 a c)))) |
(fma.f64 a c (*.f64 b d)) |
(fma.f64 a (/.f64 (*.f64 a (*.f64 c c)) (-.f64 (*.f64 a c) (*.f64 b d))) (neg.f64 (/.f64 (*.f64 b (*.f64 b (*.f64 d d))) (-.f64 (*.f64 a c) (*.f64 b d))))) |
(fma.f64 c a (*.f64 b d)) |
(fma.f64 c (/.f64 (*.f64 a (*.f64 a c)) (-.f64 (*.f64 a c) (*.f64 b d))) (neg.f64 (/.f64 (*.f64 b (*.f64 b (*.f64 d d))) (-.f64 (*.f64 a c) (*.f64 b d))))) |
(fma.f64 c (exp.f64 (log.f64 a)) (*.f64 b d)) |
(fma.f64 (*.f64 a c) (/.f64 (*.f64 a c) (-.f64 (*.f64 a c) (*.f64 b d))) (neg.f64 (/.f64 (*.f64 b (*.f64 b (*.f64 d d))) (-.f64 (*.f64 a c) (*.f64 b d))))) |
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(*.f64 (/.f64 (/.f64 (fma.f64 a (*.f64 c (*.f64 a (*.f64 a (*.f64 c c)))) (*.f64 (*.f64 b (*.f64 b b)) (*.f64 d (*.f64 d d)))) (fma.f64 c c (*.f64 d d))) (fma.f64 (*.f64 a c) (*.f64 (*.f64 a (*.f64 c (*.f64 a (*.f64 a (*.f64 c c))))) (*.f64 a (*.f64 a (*.f64 c c)))) (*.f64 (*.f64 (*.f64 b d) (-.f64 (*.f64 b d) (*.f64 a c))) (*.f64 (*.f64 (*.f64 b d) (-.f64 (*.f64 b d) (*.f64 a c))) (*.f64 (*.f64 b d) (-.f64 (*.f64 b d) (*.f64 a c))))))) (fma.f64 (*.f64 (*.f64 b d) (-.f64 (*.f64 b d) (*.f64 a c))) (-.f64 (*.f64 (*.f64 b d) (-.f64 (*.f64 b d) (*.f64 a c))) (*.f64 a (*.f64 a (*.f64 c c)))) (*.f64 (*.f64 a (*.f64 a (*.f64 c c))) (*.f64 a (*.f64 a (*.f64 c c)))))) |
(*.f64 (/.f64 (/.f64 (fma.f64 a (*.f64 c (*.f64 a (*.f64 a (*.f64 c c)))) (*.f64 (*.f64 b (*.f64 b b)) (*.f64 d (*.f64 d d)))) (fma.f64 c c (*.f64 d d))) (*.f64 (fma.f64 a (*.f64 a (*.f64 c c)) (*.f64 (*.f64 b d) (-.f64 (*.f64 b d) (*.f64 a c)))) (-.f64 (*.f64 a (*.f64 a (*.f64 c c))) (*.f64 (*.f64 b d) (-.f64 (*.f64 b d) (*.f64 a c)))))) (-.f64 (*.f64 a (*.f64 a (*.f64 c c))) (*.f64 (*.f64 b d) (-.f64 (*.f64 b d) (*.f64 a c))))) |
(*.f64 (/.f64 (/.f64 (*.f64 (fma.f64 a c (*.f64 b d)) (-.f64 (*.f64 a c) (*.f64 b d))) (fma.f64 c c (*.f64 d d))) (*.f64 (fma.f64 a c (*.f64 b d)) (-.f64 (*.f64 a c) (*.f64 b d)))) (fma.f64 a c (*.f64 b d))) |
(*.f64 (/.f64 (/.f64 (*.f64 (fma.f64 a c (*.f64 b d)) (-.f64 (*.f64 a c) (*.f64 b d))) (fma.f64 c c (*.f64 d d))) (-.f64 (*.f64 a (*.f64 c (*.f64 a (*.f64 a (*.f64 c c))))) (*.f64 (*.f64 b (*.f64 b b)) (*.f64 d (*.f64 d d))))) (fma.f64 (*.f64 b d) (fma.f64 a c (*.f64 b d)) (*.f64 a (*.f64 a (*.f64 c c))))) |
(exp.f64 (log.f64 (*.f64 a c))) |
(exp.f64 (*.f64 (log.f64 (*.f64 a c)) #s(literal 1 binary64))) |
(pow.f64 (*.f64 a c) #s(literal 1 binary64)) |
(*.f64 a c) |
(*.f64 c a) |
(*.f64 c (exp.f64 (log.f64 a))) |
(*.f64 (exp.f64 (log.f64 a)) c) |
| 1× | egg-herbie |
| 7 676× | accelerator-lowering-fma.f32 |
| 7 676× | accelerator-lowering-fma.f64 |
| 4 326× | *-lowering-*.f32 |
| 4 326× | *-lowering-*.f64 |
| 1 822× | /-lowering-/.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 186 | 1356 |
| 1 | 618 | 1346 |
| 2 | 1892 | 1322 |
| 3 | 5763 | 1320 |
| 0 | 8185 | 1190 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* b d) |
(+ (* a c) (* b d)) |
(+ (* a c) (* b d)) |
(+ (* a c) (* b d)) |
(* a c) |
(* a (+ c (/ (* b d) a))) |
(* a (+ c (/ (* b d) a))) |
(* a (+ c (/ (* b d) a))) |
(* a c) |
(* -1 (* a (+ (* -1 c) (* -1 (/ (* b d) a))))) |
(* -1 (* a (+ (* -1 c) (* -1 (/ (* b d) a))))) |
(* -1 (* a (+ (* -1 c) (* -1 (/ (* b d) a))))) |
(* b d) |
(+ (* a c) (* b d)) |
(+ (* a c) (* b d)) |
(+ (* a c) (* b d)) |
(* a c) |
(* c (+ a (/ (* b d) c))) |
(* c (+ a (/ (* b d) c))) |
(* c (+ a (/ (* b d) c))) |
(* a c) |
(* -1 (* c (+ (* -1 a) (* -1 (/ (* b d) c))))) |
(* -1 (* c (+ (* -1 a) (* -1 (/ (* b d) c))))) |
(* -1 (* c (+ (* -1 a) (* -1 (/ (* b d) c))))) |
(* a c) |
(+ (* a c) (* b d)) |
(+ (* a c) (* b d)) |
(+ (* a c) (* b d)) |
(* b d) |
(* b (+ d (/ (* a c) b))) |
(* b (+ d (/ (* a c) b))) |
(* b (+ d (/ (* a c) b))) |
(* b d) |
(* -1 (* b (+ (* -1 d) (* -1 (/ (* a c) b))))) |
(* -1 (* b (+ (* -1 d) (* -1 (/ (* a c) b))))) |
(* -1 (* b (+ (* -1 d) (* -1 (/ (* a c) b))))) |
(* a c) |
(+ (* a c) (* b d)) |
(+ (* a c) (* b d)) |
(+ (* a c) (* b d)) |
(* b d) |
(* d (+ b (/ (* a c) d))) |
(* d (+ b (/ (* a c) d))) |
(* d (+ b (/ (* a c) d))) |
(* b d) |
(* -1 (* d (+ (* -1 b) (* -1 (/ (* a c) d))))) |
(* -1 (* d (+ (* -1 b) (* -1 (/ (* a c) d))))) |
(* -1 (* d (+ (* -1 b) (* -1 (/ (* a c) d))))) |
(pow d 2) |
(+ (pow c 2) (pow d 2)) |
(+ (pow c 2) (pow d 2)) |
(+ (pow c 2) (pow d 2)) |
(pow c 2) |
(* (pow c 2) (+ 1 (/ (pow d 2) (pow c 2)))) |
(* (pow c 2) (+ 1 (/ (pow d 2) (pow c 2)))) |
(* (pow c 2) (+ 1 (/ (pow d 2) (pow c 2)))) |
(pow c 2) |
(* (pow c 2) (+ 1 (/ (pow d 2) (pow c 2)))) |
(* (pow c 2) (+ 1 (/ (pow d 2) (pow c 2)))) |
(* (pow c 2) (+ 1 (/ (pow d 2) (pow c 2)))) |
(pow c 2) |
(+ (pow c 2) (pow d 2)) |
(+ (pow c 2) (pow d 2)) |
(+ (pow c 2) (pow d 2)) |
(pow d 2) |
(* (pow d 2) (+ 1 (/ (pow c 2) (pow d 2)))) |
(* (pow d 2) (+ 1 (/ (pow c 2) (pow d 2)))) |
(* (pow d 2) (+ 1 (/ (pow c 2) (pow d 2)))) |
(pow d 2) |
(* (pow d 2) (+ 1 (/ (pow c 2) (pow d 2)))) |
(* (pow d 2) (+ 1 (/ (pow c 2) (pow d 2)))) |
(* (pow d 2) (+ 1 (/ (pow c 2) (pow d 2)))) |
(/ (* b d) (+ (pow c 2) (pow d 2))) |
(+ (/ (* a c) (+ (pow c 2) (pow d 2))) (/ (* b d) (+ (pow c 2) (pow d 2)))) |
(+ (/ (* a c) (+ (pow c 2) (pow d 2))) (/ (* b d) (+ (pow c 2) (pow d 2)))) |
(+ (/ (* a c) (+ (pow c 2) (pow d 2))) (/ (* b d) (+ (pow c 2) (pow d 2)))) |
(/ (* a c) (+ (pow c 2) (pow d 2))) |
(* a (+ (/ c (+ (pow c 2) (pow d 2))) (/ (* b d) (* a (+ (pow c 2) (pow d 2)))))) |
(* a (+ (/ c (+ (pow c 2) (pow d 2))) (/ (* b d) (* a (+ (pow c 2) (pow d 2)))))) |
(* a (+ (/ c (+ (pow c 2) (pow d 2))) (/ (* b d) (* a (+ (pow c 2) (pow d 2)))))) |
(/ (* a c) (+ (pow c 2) (pow d 2))) |
(* -1 (* a (+ (* -1 (/ c (+ (pow c 2) (pow d 2)))) (* -1 (/ (* b d) (* a (+ (pow c 2) (pow d 2)))))))) |
(* -1 (* a (+ (* -1 (/ c (+ (pow c 2) (pow d 2)))) (* -1 (/ (* b d) (* a (+ (pow c 2) (pow d 2)))))))) |
(* -1 (* a (+ (* -1 (/ c (+ (pow c 2) (pow d 2)))) (* -1 (/ (* b d) (* a (+ (pow c 2) (pow d 2)))))))) |
(/ b d) |
(+ (/ b d) (/ (* a c) (pow d 2))) |
(+ (* c (+ (* -1 (/ (* b c) (pow d 3))) (/ a (pow d 2)))) (/ b d)) |
(+ (* c (+ (* c (- (* -1 (/ (* a c) (pow d 4))) (/ b (pow d 3)))) (/ a (pow d 2)))) (/ b d)) |
(/ a c) |
(/ (+ a (/ (* b d) c)) c) |
(/ (+ a (+ (* -1 (/ (* a (pow d 2)) (pow c 2))) (/ (* b d) c))) c) |
(/ (- (+ a (+ (* -1 (/ (* b (pow d 3)) (pow c 3))) (/ (* b d) c))) (/ (* a (pow d 2)) (pow c 2))) c) |
(/ a c) |
(* -1 (/ (+ (* -1 a) (* -1 (/ (* b d) c))) c)) |
(* -1 (/ (+ (* -1 a) (* -1 (/ (+ (* -1 (/ (* a (pow d 2)) c)) (* b d)) c))) c)) |
(* -1 (/ (+ (* -1 a) (* -1 (/ (+ (* -1 (/ (- (/ (* b (pow d 3)) c) (* -1 (* a (pow d 2)))) c)) (* b d)) c))) c)) |
(/ (* a c) (+ (pow c 2) (pow d 2))) |
(+ (/ (* a c) (+ (pow c 2) (pow d 2))) (/ (* b d) (+ (pow c 2) (pow d 2)))) |
(+ (/ (* a c) (+ (pow c 2) (pow d 2))) (/ (* b d) (+ (pow c 2) (pow d 2)))) |
(+ (/ (* a c) (+ (pow c 2) (pow d 2))) (/ (* b d) (+ (pow c 2) (pow d 2)))) |
(/ (* b d) (+ (pow c 2) (pow d 2))) |
(* b (+ (/ d (+ (pow c 2) (pow d 2))) (/ (* a c) (* b (+ (pow c 2) (pow d 2)))))) |
(* b (+ (/ d (+ (pow c 2) (pow d 2))) (/ (* a c) (* b (+ (pow c 2) (pow d 2)))))) |
(* b (+ (/ d (+ (pow c 2) (pow d 2))) (/ (* a c) (* b (+ (pow c 2) (pow d 2)))))) |
(/ (* b d) (+ (pow c 2) (pow d 2))) |
(* -1 (* b (+ (* -1 (/ d (+ (pow c 2) (pow d 2)))) (* -1 (/ (* a c) (* b (+ (pow c 2) (pow d 2)))))))) |
(* -1 (* b (+ (* -1 (/ d (+ (pow c 2) (pow d 2)))) (* -1 (/ (* a c) (* b (+ (pow c 2) (pow d 2)))))))) |
(* -1 (* b (+ (* -1 (/ d (+ (pow c 2) (pow d 2)))) (* -1 (/ (* a c) (* b (+ (pow c 2) (pow d 2)))))))) |
(/ a c) |
(+ (/ a c) (/ (* b d) (pow c 2))) |
(+ (* d (+ (* -1 (/ (* a d) (pow c 3))) (/ b (pow c 2)))) (/ a c)) |
(+ (* d (+ (* d (- (* -1 (/ (* b d) (pow c 4))) (/ a (pow c 3)))) (/ b (pow c 2)))) (/ a c)) |
(/ b d) |
(/ (+ b (/ (* a c) d)) d) |
(/ (+ b (+ (* -1 (/ (* b (pow c 2)) (pow d 2))) (/ (* a c) d))) d) |
(/ (- (+ b (+ (* -1 (/ (* a (pow c 3)) (pow d 3))) (/ (* a c) d))) (/ (* b (pow c 2)) (pow d 2))) d) |
(/ b d) |
(* -1 (/ (+ (* -1 b) (* -1 (/ (* a c) d))) d)) |
(* -1 (/ (+ (* -1 b) (* -1 (/ (+ (* -1 (/ (* b (pow c 2)) d)) (* a c)) d))) d)) |
(* -1 (/ (+ (* -1 b) (* -1 (/ (+ (* -1 (/ (- (/ (* a (pow c 3)) d) (* -1 (* b (pow c 2)))) d)) (* a c)) d))) d)) |
(* a c) |
(* a c) |
(* a c) |
(* a c) |
(* a c) |
(* a c) |
(* a c) |
(* a c) |
(* a c) |
(* a c) |
(* a c) |
(* a c) |
(* a c) |
(* a c) |
(* a c) |
(* a c) |
(* a c) |
(* a c) |
(* a c) |
(* a c) |
(* a c) |
(* a c) |
(* a c) |
(* a c) |
| Outputs |
|---|
(* b d) |
(*.f64 b d) |
(+ (* a c) (* b d)) |
(fma.f64 b d (*.f64 a c)) |
(+ (* a c) (* b d)) |
(fma.f64 b d (*.f64 a c)) |
(+ (* a c) (* b d)) |
(fma.f64 b d (*.f64 a c)) |
(* a c) |
(*.f64 a c) |
(* a (+ c (/ (* b d) a))) |
(fma.f64 b d (*.f64 a c)) |
(* a (+ c (/ (* b d) a))) |
(fma.f64 b d (*.f64 a c)) |
(* a (+ c (/ (* b d) a))) |
(fma.f64 b d (*.f64 a c)) |
(* a c) |
(*.f64 a c) |
(* -1 (* a (+ (* -1 c) (* -1 (/ (* b d) a))))) |
(fma.f64 b d (*.f64 a c)) |
(* -1 (* a (+ (* -1 c) (* -1 (/ (* b d) a))))) |
(fma.f64 b d (*.f64 a c)) |
(* -1 (* a (+ (* -1 c) (* -1 (/ (* b d) a))))) |
(fma.f64 b d (*.f64 a c)) |
(* b d) |
(*.f64 b d) |
(+ (* a c) (* b d)) |
(fma.f64 b d (*.f64 a c)) |
(+ (* a c) (* b d)) |
(fma.f64 b d (*.f64 a c)) |
(+ (* a c) (* b d)) |
(fma.f64 b d (*.f64 a c)) |
(* a c) |
(*.f64 a c) |
(* c (+ a (/ (* b d) c))) |
(fma.f64 b d (*.f64 a c)) |
(* c (+ a (/ (* b d) c))) |
(fma.f64 b d (*.f64 a c)) |
(* c (+ a (/ (* b d) c))) |
(fma.f64 b d (*.f64 a c)) |
(* a c) |
(*.f64 a c) |
(* -1 (* c (+ (* -1 a) (* -1 (/ (* b d) c))))) |
(fma.f64 b d (*.f64 a c)) |
(* -1 (* c (+ (* -1 a) (* -1 (/ (* b d) c))))) |
(fma.f64 b d (*.f64 a c)) |
(* -1 (* c (+ (* -1 a) (* -1 (/ (* b d) c))))) |
(fma.f64 b d (*.f64 a c)) |
(* a c) |
(*.f64 a c) |
(+ (* a c) (* b d)) |
(fma.f64 b d (*.f64 a c)) |
(+ (* a c) (* b d)) |
(fma.f64 b d (*.f64 a c)) |
(+ (* a c) (* b d)) |
(fma.f64 b d (*.f64 a c)) |
(* b d) |
(*.f64 b d) |
(* b (+ d (/ (* a c) b))) |
(fma.f64 b d (*.f64 a c)) |
(* b (+ d (/ (* a c) b))) |
(fma.f64 b d (*.f64 a c)) |
(* b (+ d (/ (* a c) b))) |
(fma.f64 b d (*.f64 a c)) |
(* b d) |
(*.f64 b d) |
(* -1 (* b (+ (* -1 d) (* -1 (/ (* a c) b))))) |
(fma.f64 b d (*.f64 a c)) |
(* -1 (* b (+ (* -1 d) (* -1 (/ (* a c) b))))) |
(fma.f64 b d (*.f64 a c)) |
(* -1 (* b (+ (* -1 d) (* -1 (/ (* a c) b))))) |
(fma.f64 b d (*.f64 a c)) |
(* a c) |
(*.f64 a c) |
(+ (* a c) (* b d)) |
(fma.f64 b d (*.f64 a c)) |
(+ (* a c) (* b d)) |
(fma.f64 b d (*.f64 a c)) |
(+ (* a c) (* b d)) |
(fma.f64 b d (*.f64 a c)) |
(* b d) |
(*.f64 b d) |
(* d (+ b (/ (* a c) d))) |
(fma.f64 b d (*.f64 a c)) |
(* d (+ b (/ (* a c) d))) |
(fma.f64 b d (*.f64 a c)) |
(* d (+ b (/ (* a c) d))) |
(fma.f64 b d (*.f64 a c)) |
(* b d) |
(*.f64 b d) |
(* -1 (* d (+ (* -1 b) (* -1 (/ (* a c) d))))) |
(fma.f64 b d (*.f64 a c)) |
(* -1 (* d (+ (* -1 b) (* -1 (/ (* a c) d))))) |
(fma.f64 b d (*.f64 a c)) |
(* -1 (* d (+ (* -1 b) (* -1 (/ (* a c) d))))) |
(fma.f64 b d (*.f64 a c)) |
(pow d 2) |
(*.f64 d d) |
(+ (pow c 2) (pow d 2)) |
(fma.f64 d d (*.f64 c c)) |
(+ (pow c 2) (pow d 2)) |
(fma.f64 d d (*.f64 c c)) |
(+ (pow c 2) (pow d 2)) |
(fma.f64 d d (*.f64 c c)) |
(pow c 2) |
(*.f64 c c) |
(* (pow c 2) (+ 1 (/ (pow d 2) (pow c 2)))) |
(fma.f64 d d (*.f64 c c)) |
(* (pow c 2) (+ 1 (/ (pow d 2) (pow c 2)))) |
(fma.f64 d d (*.f64 c c)) |
(* (pow c 2) (+ 1 (/ (pow d 2) (pow c 2)))) |
(fma.f64 d d (*.f64 c c)) |
(pow c 2) |
(*.f64 c c) |
(* (pow c 2) (+ 1 (/ (pow d 2) (pow c 2)))) |
(fma.f64 d d (*.f64 c c)) |
(* (pow c 2) (+ 1 (/ (pow d 2) (pow c 2)))) |
(fma.f64 d d (*.f64 c c)) |
(* (pow c 2) (+ 1 (/ (pow d 2) (pow c 2)))) |
(fma.f64 d d (*.f64 c c)) |
(pow c 2) |
(*.f64 c c) |
(+ (pow c 2) (pow d 2)) |
(fma.f64 d d (*.f64 c c)) |
(+ (pow c 2) (pow d 2)) |
(fma.f64 d d (*.f64 c c)) |
(+ (pow c 2) (pow d 2)) |
(fma.f64 d d (*.f64 c c)) |
(pow d 2) |
(*.f64 d d) |
(* (pow d 2) (+ 1 (/ (pow c 2) (pow d 2)))) |
(fma.f64 d d (*.f64 c c)) |
(* (pow d 2) (+ 1 (/ (pow c 2) (pow d 2)))) |
(fma.f64 d d (*.f64 c c)) |
(* (pow d 2) (+ 1 (/ (pow c 2) (pow d 2)))) |
(fma.f64 d d (*.f64 c c)) |
(pow d 2) |
(*.f64 d d) |
(* (pow d 2) (+ 1 (/ (pow c 2) (pow d 2)))) |
(fma.f64 d d (*.f64 c c)) |
(* (pow d 2) (+ 1 (/ (pow c 2) (pow d 2)))) |
(fma.f64 d d (*.f64 c c)) |
(* (pow d 2) (+ 1 (/ (pow c 2) (pow d 2)))) |
(fma.f64 d d (*.f64 c c)) |
(/ (* b d) (+ (pow c 2) (pow d 2))) |
(/.f64 (*.f64 b d) (fma.f64 d d (*.f64 c c))) |
(+ (/ (* a c) (+ (pow c 2) (pow d 2))) (/ (* b d) (+ (pow c 2) (pow d 2)))) |
(fma.f64 b (/.f64 d (fma.f64 d d (*.f64 c c))) (/.f64 (*.f64 a c) (fma.f64 d d (*.f64 c c)))) |
(+ (/ (* a c) (+ (pow c 2) (pow d 2))) (/ (* b d) (+ (pow c 2) (pow d 2)))) |
(fma.f64 b (/.f64 d (fma.f64 d d (*.f64 c c))) (/.f64 (*.f64 a c) (fma.f64 d d (*.f64 c c)))) |
(+ (/ (* a c) (+ (pow c 2) (pow d 2))) (/ (* b d) (+ (pow c 2) (pow d 2)))) |
(fma.f64 b (/.f64 d (fma.f64 d d (*.f64 c c))) (/.f64 (*.f64 a c) (fma.f64 d d (*.f64 c c)))) |
(/ (* a c) (+ (pow c 2) (pow d 2))) |
(/.f64 (*.f64 a c) (fma.f64 d d (*.f64 c c))) |
(* a (+ (/ c (+ (pow c 2) (pow d 2))) (/ (* b d) (* a (+ (pow c 2) (pow d 2)))))) |
(fma.f64 b (/.f64 d (fma.f64 d d (*.f64 c c))) (/.f64 (*.f64 a c) (fma.f64 d d (*.f64 c c)))) |
(* a (+ (/ c (+ (pow c 2) (pow d 2))) (/ (* b d) (* a (+ (pow c 2) (pow d 2)))))) |
(fma.f64 b (/.f64 d (fma.f64 d d (*.f64 c c))) (/.f64 (*.f64 a c) (fma.f64 d d (*.f64 c c)))) |
(* a (+ (/ c (+ (pow c 2) (pow d 2))) (/ (* b d) (* a (+ (pow c 2) (pow d 2)))))) |
(fma.f64 b (/.f64 d (fma.f64 d d (*.f64 c c))) (/.f64 (*.f64 a c) (fma.f64 d d (*.f64 c c)))) |
(/ (* a c) (+ (pow c 2) (pow d 2))) |
(/.f64 (*.f64 a c) (fma.f64 d d (*.f64 c c))) |
(* -1 (* a (+ (* -1 (/ c (+ (pow c 2) (pow d 2)))) (* -1 (/ (* b d) (* a (+ (pow c 2) (pow d 2)))))))) |
(fma.f64 b (/.f64 d (fma.f64 d d (*.f64 c c))) (/.f64 (*.f64 a c) (fma.f64 d d (*.f64 c c)))) |
(* -1 (* a (+ (* -1 (/ c (+ (pow c 2) (pow d 2)))) (* -1 (/ (* b d) (* a (+ (pow c 2) (pow d 2)))))))) |
(fma.f64 b (/.f64 d (fma.f64 d d (*.f64 c c))) (/.f64 (*.f64 a c) (fma.f64 d d (*.f64 c c)))) |
(* -1 (* a (+ (* -1 (/ c (+ (pow c 2) (pow d 2)))) (* -1 (/ (* b d) (* a (+ (pow c 2) (pow d 2)))))))) |
(fma.f64 b (/.f64 d (fma.f64 d d (*.f64 c c))) (/.f64 (*.f64 a c) (fma.f64 d d (*.f64 c c)))) |
(/ b d) |
(/.f64 b d) |
(+ (/ b d) (/ (* a c) (pow d 2))) |
(fma.f64 a (/.f64 c (*.f64 d d)) (/.f64 b d)) |
(+ (* c (+ (* -1 (/ (* b c) (pow d 3))) (/ a (pow d 2)))) (/ b d)) |
(fma.f64 c (fma.f64 (neg.f64 c) (/.f64 b (*.f64 d (*.f64 d d))) (/.f64 a (*.f64 d d))) (/.f64 b d)) |
(+ (* c (+ (* c (- (* -1 (/ (* a c) (pow d 4))) (/ b (pow d 3)))) (/ a (pow d 2)))) (/ b d)) |
(fma.f64 c (-.f64 (/.f64 a (*.f64 d d)) (*.f64 (fma.f64 a (/.f64 c (pow.f64 d #s(literal 4 binary64))) (/.f64 b (*.f64 d (*.f64 d d)))) c)) (/.f64 b d)) |
(/ a c) |
(/.f64 a c) |
(/ (+ a (/ (* b d) c)) c) |
(/.f64 (fma.f64 b (/.f64 d c) a) c) |
(/ (+ a (+ (* -1 (/ (* a (pow d 2)) (pow c 2))) (/ (* b d) c))) c) |
(/.f64 (+.f64 a (/.f64 (fma.f64 d (/.f64 (*.f64 d (neg.f64 a)) c) (*.f64 b d)) c)) c) |
(/ (- (+ a (+ (* -1 (/ (* b (pow d 3)) (pow c 3))) (/ (* b d) c))) (/ (* a (pow d 2)) (pow c 2))) c) |
(/.f64 (+.f64 a (/.f64 (-.f64 (*.f64 b d) (/.f64 (fma.f64 b (/.f64 (*.f64 d (*.f64 d d)) c) (*.f64 a (*.f64 d d))) c)) c)) c) |
(/ a c) |
(/.f64 a c) |
(* -1 (/ (+ (* -1 a) (* -1 (/ (* b d) c))) c)) |
(/.f64 (fma.f64 b (/.f64 d c) a) c) |
(* -1 (/ (+ (* -1 a) (* -1 (/ (+ (* -1 (/ (* a (pow d 2)) c)) (* b d)) c))) c)) |
(/.f64 (+.f64 a (/.f64 (fma.f64 d (/.f64 (*.f64 d (neg.f64 a)) c) (*.f64 b d)) c)) c) |
(* -1 (/ (+ (* -1 a) (* -1 (/ (+ (* -1 (/ (- (/ (* b (pow d 3)) c) (* -1 (* a (pow d 2)))) c)) (* b d)) c))) c)) |
(/.f64 (+.f64 a (/.f64 (-.f64 (*.f64 b d) (/.f64 (fma.f64 b (/.f64 (*.f64 d (*.f64 d d)) c) (*.f64 a (*.f64 d d))) c)) c)) c) |
(/ (* a c) (+ (pow c 2) (pow d 2))) |
(/.f64 (*.f64 a c) (fma.f64 d d (*.f64 c c))) |
(+ (/ (* a c) (+ (pow c 2) (pow d 2))) (/ (* b d) (+ (pow c 2) (pow d 2)))) |
(fma.f64 b (/.f64 d (fma.f64 d d (*.f64 c c))) (/.f64 (*.f64 a c) (fma.f64 d d (*.f64 c c)))) |
(+ (/ (* a c) (+ (pow c 2) (pow d 2))) (/ (* b d) (+ (pow c 2) (pow d 2)))) |
(fma.f64 b (/.f64 d (fma.f64 d d (*.f64 c c))) (/.f64 (*.f64 a c) (fma.f64 d d (*.f64 c c)))) |
(+ (/ (* a c) (+ (pow c 2) (pow d 2))) (/ (* b d) (+ (pow c 2) (pow d 2)))) |
(fma.f64 b (/.f64 d (fma.f64 d d (*.f64 c c))) (/.f64 (*.f64 a c) (fma.f64 d d (*.f64 c c)))) |
(/ (* b d) (+ (pow c 2) (pow d 2))) |
(/.f64 (*.f64 b d) (fma.f64 d d (*.f64 c c))) |
(* b (+ (/ d (+ (pow c 2) (pow d 2))) (/ (* a c) (* b (+ (pow c 2) (pow d 2)))))) |
(fma.f64 b (/.f64 d (fma.f64 d d (*.f64 c c))) (/.f64 (*.f64 a c) (fma.f64 d d (*.f64 c c)))) |
(* b (+ (/ d (+ (pow c 2) (pow d 2))) (/ (* a c) (* b (+ (pow c 2) (pow d 2)))))) |
(fma.f64 b (/.f64 d (fma.f64 d d (*.f64 c c))) (/.f64 (*.f64 a c) (fma.f64 d d (*.f64 c c)))) |
(* b (+ (/ d (+ (pow c 2) (pow d 2))) (/ (* a c) (* b (+ (pow c 2) (pow d 2)))))) |
(fma.f64 b (/.f64 d (fma.f64 d d (*.f64 c c))) (/.f64 (*.f64 a c) (fma.f64 d d (*.f64 c c)))) |
(/ (* b d) (+ (pow c 2) (pow d 2))) |
(/.f64 (*.f64 b d) (fma.f64 d d (*.f64 c c))) |
(* -1 (* b (+ (* -1 (/ d (+ (pow c 2) (pow d 2)))) (* -1 (/ (* a c) (* b (+ (pow c 2) (pow d 2)))))))) |
(fma.f64 b (/.f64 d (fma.f64 d d (*.f64 c c))) (/.f64 (*.f64 a c) (fma.f64 d d (*.f64 c c)))) |
(* -1 (* b (+ (* -1 (/ d (+ (pow c 2) (pow d 2)))) (* -1 (/ (* a c) (* b (+ (pow c 2) (pow d 2)))))))) |
(fma.f64 b (/.f64 d (fma.f64 d d (*.f64 c c))) (/.f64 (*.f64 a c) (fma.f64 d d (*.f64 c c)))) |
(* -1 (* b (+ (* -1 (/ d (+ (pow c 2) (pow d 2)))) (* -1 (/ (* a c) (* b (+ (pow c 2) (pow d 2)))))))) |
(fma.f64 b (/.f64 d (fma.f64 d d (*.f64 c c))) (/.f64 (*.f64 a c) (fma.f64 d d (*.f64 c c)))) |
(/ a c) |
(/.f64 a c) |
(+ (/ a c) (/ (* b d) (pow c 2))) |
(fma.f64 b (/.f64 d (*.f64 c c)) (/.f64 a c)) |
(+ (* d (+ (* -1 (/ (* a d) (pow c 3))) (/ b (pow c 2)))) (/ a c)) |
(fma.f64 d (-.f64 (/.f64 b (*.f64 c c)) (*.f64 a (/.f64 d (*.f64 c (*.f64 c c))))) (/.f64 a c)) |
(+ (* d (+ (* d (- (* -1 (/ (* b d) (pow c 4))) (/ a (pow c 3)))) (/ b (pow c 2)))) (/ a c)) |
(fma.f64 d (-.f64 (/.f64 b (*.f64 c c)) (*.f64 (fma.f64 d (/.f64 b (pow.f64 c #s(literal 4 binary64))) (/.f64 a (*.f64 c (*.f64 c c)))) d)) (/.f64 a c)) |
(/ b d) |
(/.f64 b d) |
(/ (+ b (/ (* a c) d)) d) |
(/.f64 (fma.f64 a (/.f64 c d) b) d) |
(/ (+ b (+ (* -1 (/ (* b (pow c 2)) (pow d 2))) (/ (* a c) d))) d) |
(/.f64 (+.f64 b (/.f64 (fma.f64 b (/.f64 (*.f64 c (neg.f64 c)) d) (*.f64 a c)) d)) d) |
(/ (- (+ b (+ (* -1 (/ (* a (pow c 3)) (pow d 3))) (/ (* a c) d))) (/ (* b (pow c 2)) (pow d 2))) d) |
(/.f64 (-.f64 b (/.f64 (-.f64 (/.f64 (fma.f64 c (/.f64 (*.f64 a (*.f64 c c)) d) (*.f64 b (*.f64 c c))) d) (*.f64 a c)) d)) d) |
(/ b d) |
(/.f64 b d) |
(* -1 (/ (+ (* -1 b) (* -1 (/ (* a c) d))) d)) |
(/.f64 (fma.f64 a (/.f64 c d) b) d) |
(* -1 (/ (+ (* -1 b) (* -1 (/ (+ (* -1 (/ (* b (pow c 2)) d)) (* a c)) d))) d)) |
(/.f64 (+.f64 b (/.f64 (fma.f64 b (/.f64 (*.f64 c (neg.f64 c)) d) (*.f64 a c)) d)) d) |
(* -1 (/ (+ (* -1 b) (* -1 (/ (+ (* -1 (/ (- (/ (* a (pow c 3)) d) (* -1 (* b (pow c 2)))) d)) (* a c)) d))) d)) |
(/.f64 (-.f64 b (/.f64 (-.f64 (/.f64 (fma.f64 c (/.f64 (*.f64 a (*.f64 c c)) d) (*.f64 b (*.f64 c c))) d) (*.f64 a c)) d)) d) |
(* a c) |
(*.f64 a c) |
(* a c) |
(*.f64 a c) |
(* a c) |
(*.f64 a c) |
(* a c) |
(*.f64 a c) |
(* a c) |
(*.f64 a c) |
(* a c) |
(*.f64 a c) |
(* a c) |
(*.f64 a c) |
(* a c) |
(*.f64 a c) |
(* a c) |
(*.f64 a c) |
(* a c) |
(*.f64 a c) |
(* a c) |
(*.f64 a c) |
(* a c) |
(*.f64 a c) |
(* a c) |
(*.f64 a c) |
(* a c) |
(*.f64 a c) |
(* a c) |
(*.f64 a c) |
(* a c) |
(*.f64 a c) |
(* a c) |
(*.f64 a c) |
(* a c) |
(*.f64 a c) |
(* a c) |
(*.f64 a c) |
(* a c) |
(*.f64 a c) |
(* a c) |
(*.f64 a c) |
(* a c) |
(*.f64 a c) |
(* a c) |
(*.f64 a c) |
(* a c) |
(*.f64 a c) |
Compiled 17 230 to 1 014 computations (94.1% saved)
13 alts after pruning (13 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 470 | 13 | 483 |
| Fresh | 0 | 0 | 0 |
| Picked | 1 | 0 | 1 |
| Done | 0 | 0 | 0 |
| Total | 471 | 13 | 484 |
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 40.4% | (fma.f64 c (fma.f64 (neg.f64 c) (/.f64 b (*.f64 d (*.f64 d d))) (/.f64 a (*.f64 d d))) (/.f64 b d)) |
| 38.4% | (fma.f64 c (-.f64 (/.f64 a (*.f64 d d)) (*.f64 (fma.f64 a (/.f64 c (pow.f64 d #s(literal 4 binary64))) (/.f64 b (*.f64 d (*.f64 d d)))) c)) (/.f64 b d)) | |
| ▶ | 49.6% | (fma.f64 b (/.f64 d (*.f64 c c)) (/.f64 a c)) |
| 37.6% | (pow.f64 (pow.f64 (/.f64 (fma.f64 a c (*.f64 b d)) (fma.f64 c c (*.f64 d d))) #s(literal 1/2 binary64)) #s(literal 2 binary64)) | |
| 56.7% | (/.f64 (fma.f64 b (/.f64 d c) a) c) | |
| 49.0% | (/.f64 (fma.f64 a (/.f64 c d) b) d) | |
| 53.6% | (/.f64 (+.f64 a (/.f64 (fma.f64 d (/.f64 (*.f64 d (neg.f64 a)) c) (*.f64 b d)) c)) c) | |
| ▶ | 40.5% | (/.f64 (*.f64 b d) (fma.f64 d d (*.f64 c c))) |
| 40.2% | (/.f64 (*.f64 a c) (fma.f64 d d (*.f64 c c))) | |
| 39.3% | (/.f64 b d) | |
| ▶ | 44.0% | (/.f64 a c) |
| ▶ | 61.9% | (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 c c (*.f64 d d)) (fma.f64 a c (*.f64 b d)))) |
| 61.9% | (/.f64 #s(literal -1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 a c (*.f64 b d))) (neg.f64 (fma.f64 c c (*.f64 d d))))) |
Compiled 436 to 252 computations (42.2% saved)
| 1× | egg-herbie |
Found 17 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | cost-diff | 0 | (/.f64 b (*.f64 d (*.f64 d d))) |
| ✓ | cost-diff | 0 | (neg.f64 c) |
| ✓ | cost-diff | 0 | (fma.f64 c (fma.f64 (neg.f64 c) (/.f64 b (*.f64 d (*.f64 d d))) (/.f64 a (*.f64 d d))) (/.f64 b d)) |
| ✓ | cost-diff | 640 | (fma.f64 (neg.f64 c) (/.f64 b (*.f64 d (*.f64 d d))) (/.f64 a (*.f64 d d))) |
| ✓ | cost-diff | 0 | (/.f64 a c) |
| ✓ | cost-diff | 0 | (*.f64 c c) |
| ✓ | cost-diff | 0 | (/.f64 d (*.f64 c c)) |
| ✓ | cost-diff | 0 | (fma.f64 b (/.f64 d (*.f64 c c)) (/.f64 a c)) |
| ✓ | cost-diff | 0 | (*.f64 c c) |
| ✓ | cost-diff | 0 | (fma.f64 d d (*.f64 c c)) |
| ✓ | cost-diff | 0 | (*.f64 b d) |
| ✓ | cost-diff | 0 | (/.f64 (*.f64 b d) (fma.f64 d d (*.f64 c c))) |
| ✓ | cost-diff | 0 | (/.f64 a c) |
| ✓ | cost-diff | 0 | (*.f64 d d) |
| ✓ | cost-diff | 0 | (fma.f64 c c (*.f64 d d)) |
| ✓ | cost-diff | 0 | (/.f64 (fma.f64 c c (*.f64 d d)) (fma.f64 a c (*.f64 b d))) |
| ✓ | cost-diff | 704 | (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 c c (*.f64 d d)) (fma.f64 a c (*.f64 b d)))) |
| 21 992× | accelerator-lowering-fma.f32 |
| 21 992× | accelerator-lowering-fma.f64 |
| 3 446× | *-lowering-*.f32 |
| 3 446× | *-lowering-*.f64 |
| 2 424× | +-lowering-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 28 | 174 |
| 1 | 67 | 172 |
| 2 | 161 | 170 |
| 3 | 443 | 169 |
| 4 | 1021 | 168 |
| 5 | 1710 | 168 |
| 6 | 3195 | 166 |
| 7 | 4080 | 166 |
| 8 | 4969 | 166 |
| 9 | 6201 | 166 |
| 10 | 6922 | 166 |
| 11 | 7076 | 166 |
| 12 | 7112 | 166 |
| 13 | 7123 | 166 |
| 14 | 7290 | 166 |
| 15 | 7393 | 166 |
| 16 | 7420 | 166 |
| 17 | 7462 | 166 |
| 18 | 7464 | 166 |
| 19 | 7468 | 166 |
| 20 | 7468 | 166 |
| 0 | 8355 | 156 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(/ 1 (/ (+ (* c c) (* d d)) (+ (* a c) (* b d)))) |
1 |
(/ (+ (* c c) (* d d)) (+ (* a c) (* b d))) |
(+ (* c c) (* d d)) |
c |
(* d d) |
d |
(+ (* a c) (* b d)) |
a |
(* b d) |
b |
(/ a c) |
a |
c |
(/ (* b d) (+ (* d d) (* c c))) |
(* b d) |
b |
d |
(+ (* d d) (* c c)) |
(* c c) |
c |
(+ (* b (/ d (* c c))) (/ a c)) |
b |
(/ d (* c c)) |
d |
(* c c) |
c |
(/ a c) |
a |
(+ (* c (+ (* (neg c) (/ b (* d (* d d)))) (/ a (* d d)))) (/ b d)) |
c |
(+ (* (neg c) (/ b (* d (* d d)))) (/ a (* d d))) |
(neg c) |
(/ b (* d (* d d))) |
b |
(* d (* d d)) |
d |
(* d d) |
(/ a (* d d)) |
a |
(/ b d) |
| Outputs |
|---|
(/ 1 (/ (+ (* c c) (* d d)) (+ (* a c) (* b d)))) |
(/.f64 (fma.f64 c a (*.f64 d b)) (fma.f64 c c (*.f64 d d))) |
1 |
#s(literal 1 binary64) |
(/ (+ (* c c) (* d d)) (+ (* a c) (* b d))) |
(/.f64 (fma.f64 c c (*.f64 d d)) (fma.f64 c a (*.f64 d b))) |
(+ (* c c) (* d d)) |
(fma.f64 c c (*.f64 d d)) |
c |
(* d d) |
(*.f64 d d) |
d |
(+ (* a c) (* b d)) |
(fma.f64 c a (*.f64 d b)) |
a |
(* b d) |
(*.f64 d b) |
b |
(/ a c) |
(/.f64 a c) |
a |
c |
(/ (* b d) (+ (* d d) (* c c))) |
(/.f64 (*.f64 d b) (fma.f64 c c (*.f64 d d))) |
(* b d) |
(*.f64 d b) |
b |
d |
(+ (* d d) (* c c)) |
(fma.f64 c c (*.f64 d d)) |
(* c c) |
(*.f64 c c) |
c |
(+ (* b (/ d (* c c))) (/ a c)) |
(fma.f64 d (/.f64 b (*.f64 c c)) (/.f64 a c)) |
b |
(/ d (* c c)) |
(/.f64 d (*.f64 c c)) |
d |
(* c c) |
(*.f64 c c) |
c |
(/ a c) |
(/.f64 a c) |
a |
(+ (* c (+ (* (neg c) (/ b (* d (* d d)))) (/ a (* d d)))) (/ b d)) |
(fma.f64 c (/.f64 (fma.f64 (/.f64 c d) (neg.f64 b) a) (*.f64 d d)) (/.f64 b d)) |
c |
(+ (* (neg c) (/ b (* d (* d d)))) (/ a (* d d))) |
(/.f64 (fma.f64 (/.f64 c d) (neg.f64 b) a) (*.f64 d d)) |
(neg c) |
(neg.f64 c) |
(/ b (* d (* d d))) |
(/.f64 b (*.f64 d (*.f64 d d))) |
b |
(* d (* d d)) |
(*.f64 d (*.f64 d d)) |
d |
(* d d) |
(*.f64 d d) |
(/ a (* d d)) |
(/.f64 a (*.f64 d d)) |
a |
(/ b d) |
(/.f64 b d) |
Found 17 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | accuracy | 93.0% | (/.f64 b (*.f64 d (*.f64 d d))) |
| ✓ | accuracy | 86.3% | (/.f64 a (*.f64 d d)) |
| ✓ | accuracy | 84.7% | (fma.f64 (neg.f64 c) (/.f64 b (*.f64 d (*.f64 d d))) (/.f64 a (*.f64 d d))) |
| ✓ | accuracy | 84.6% | (fma.f64 c (fma.f64 (neg.f64 c) (/.f64 b (*.f64 d (*.f64 d d))) (/.f64 a (*.f64 d d))) (/.f64 b d)) |
| ✓ | accuracy | 100.0% | (/.f64 a c) |
| ✓ | accuracy | 100.0% | (*.f64 c c) |
| ✓ | accuracy | 89.4% | (fma.f64 b (/.f64 d (*.f64 c c)) (/.f64 a c)) |
| ✓ | accuracy | 89.3% | (/.f64 d (*.f64 c c)) |
| ✓ | accuracy | 100.0% | (fma.f64 d d (*.f64 c c)) |
| ✓ | accuracy | 100.0% | (*.f64 c c) |
| ✓ | accuracy | 100.0% | (*.f64 b d) |
| ✓ | accuracy | 76.4% | (/.f64 (*.f64 b d) (fma.f64 d d (*.f64 c c))) |
| ✓ | accuracy | 100.0% | (/.f64 a c) |
| ✓ | accuracy | 100.0% | (fma.f64 c c (*.f64 d d)) |
| ✓ | accuracy | 99.6% | (fma.f64 a c (*.f64 b d)) |
| ✓ | accuracy | 99.2% | (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 c c (*.f64 d d)) (fma.f64 a c (*.f64 b d)))) |
| ✓ | accuracy | 62.8% | (/.f64 (fma.f64 c c (*.f64 d d)) (fma.f64 a c (*.f64 b d))) |
| 64.0ms | 256× | 0 | valid |
Compiled 172 to 30 computations (82.6% saved)
ival-div: 24.0ms (53% of total)ival-mult: 13.0ms (28.7% of total)ival-add: 6.0ms (13.2% of total)ival-neg: 1.0ms (2.2% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| Inputs |
|---|
#<alt (/ 1 (/ (+ (* c c) (* d d)) (+ (* a c) (* b d))))> |
#<alt (/ (+ (* c c) (* d d)) (+ (* a c) (* b d)))> |
#<alt (+ (* c c) (* d d))> |
#<alt (* d d)> |
#<alt (/ a c)> |
#<alt (/ (* b d) (+ (* d d) (* c c)))> |
#<alt (* b d)> |
#<alt (+ (* d d) (* c c))> |
#<alt (* c c)> |
#<alt (+ (* b (/ d (* c c))) (/ a c))> |
#<alt (/ d (* c c))> |
#<alt (+ (* (neg c) (/ b (* d (* d d)))) (/ a (* d d)))> |
#<alt (+ (* c (+ (* (neg c) (/ b (* d (* d d)))) (/ a (* d d)))) (/ b d))> |
#<alt (neg c)> |
#<alt (/ b (* d (* d d)))> |
#<alt (+ (* a c) (* b d))> |
#<alt (/ a (* d d))> |
| Outputs |
|---|
#<alt (/ b d)> |
#<alt (+ (/ b d) (/ (* a c) (pow d 2)))> |
#<alt (+ (* c (+ (* -1 (/ (* b c) (pow d 3))) (/ a (pow d 2)))) (/ b d))> |
#<alt (+ (* c (+ (* c (- (* -1 (/ (* a c) (pow d 4))) (/ b (pow d 3)))) (/ a (pow d 2)))) (/ b d))> |
#<alt (/ a c)> |
#<alt (/ (+ a (/ (* b d) c)) c)> |
#<alt (/ (+ a (+ (* -1 (/ (* a (pow d 2)) (pow c 2))) (/ (* b d) c))) c)> |
#<alt (/ (- (+ a (+ (* -1 (/ (* b (pow d 3)) (pow c 3))) (/ (* b d) c))) (/ (* a (pow d 2)) (pow c 2))) c)> |
#<alt (/ a c)> |
#<alt (* -1 (/ (+ (* -1 a) (* -1 (/ (* b d) c))) c))> |
#<alt (* -1 (/ (+ (* -1 a) (* -1 (/ (+ (* -1 (/ (* a (pow d 2)) c)) (* b d)) c))) c))> |
#<alt (* -1 (/ (+ (* -1 a) (* -1 (/ (+ (* -1 (/ (- (/ (* b (pow d 3)) c) (* -1 (* a (pow d 2)))) c)) (* b d)) c))) c))> |
#<alt (/ a c)> |
#<alt (+ (/ a c) (/ (* b d) (pow c 2)))> |
#<alt (+ (* d (+ (* -1 (/ (* a d) (pow c 3))) (/ b (pow c 2)))) (/ a c))> |
#<alt (+ (* d (+ (* d (- (* -1 (/ (* b d) (pow c 4))) (/ a (pow c 3)))) (/ b (pow c 2)))) (/ a c))> |
#<alt (/ b d)> |
#<alt (/ (+ b (/ (* a c) d)) d)> |
#<alt (/ (+ b (+ (* -1 (/ (* b (pow c 2)) (pow d 2))) (/ (* a c) d))) d)> |
#<alt (/ (- (+ b (+ (* -1 (/ (* a (pow c 3)) (pow d 3))) (/ (* a c) d))) (/ (* b (pow c 2)) (pow d 2))) d)> |
#<alt (/ b d)> |
#<alt (* -1 (/ (+ (* -1 b) (* -1 (/ (* a c) d))) d))> |
#<alt (* -1 (/ (+ (* -1 b) (* -1 (/ (+ (* -1 (/ (* b (pow c 2)) d)) (* a c)) d))) d))> |
#<alt (* -1 (/ (+ (* -1 b) (* -1 (/ (+ (* -1 (/ (- (/ (* a (pow c 3)) d) (* -1 (* b (pow c 2)))) d)) (* a c)) d))) d))> |
#<alt (/ (* b d) (+ (pow c 2) (pow d 2)))> |
#<alt (+ (/ (* a c) (+ (pow c 2) (pow d 2))) (/ (* b d) (+ (pow c 2) (pow d 2))))> |
#<alt (+ (/ (* a c) (+ (pow c 2) (pow d 2))) (/ (* b d) (+ (pow c 2) (pow d 2))))> |
#<alt (+ (/ (* a c) (+ (pow c 2) (pow d 2))) (/ (* b d) (+ (pow c 2) (pow d 2))))> |
#<alt (/ (* a c) (+ (pow c 2) (pow d 2)))> |
#<alt (* a (+ (/ c (+ (pow c 2) (pow d 2))) (/ (* b d) (* a (+ (pow c 2) (pow d 2))))))> |
#<alt (* a (+ (/ c (+ (pow c 2) (pow d 2))) (/ (* b d) (* a (+ (pow c 2) (pow d 2))))))> |
#<alt (* a (+ (/ c (+ (pow c 2) (pow d 2))) (/ (* b d) (* a (+ (pow c 2) (pow d 2))))))> |
#<alt (/ (* a c) (+ (pow c 2) (pow d 2)))> |
#<alt (* -1 (* a (+ (* -1 (/ c (+ (pow c 2) (pow d 2)))) (* -1 (/ (* b d) (* a (+ (pow c 2) (pow d 2))))))))> |
#<alt (* -1 (* a (+ (* -1 (/ c (+ (pow c 2) (pow d 2)))) (* -1 (/ (* b d) (* a (+ (pow c 2) (pow d 2))))))))> |
#<alt (* -1 (* a (+ (* -1 (/ c (+ (pow c 2) (pow d 2)))) (* -1 (/ (* b d) (* a (+ (pow c 2) (pow d 2))))))))> |
#<alt (/ (* a c) (+ (pow c 2) (pow d 2)))> |
#<alt (+ (/ (* a c) (+ (pow c 2) (pow d 2))) (/ (* b d) (+ (pow c 2) (pow d 2))))> |
#<alt (+ (/ (* a c) (+ (pow c 2) (pow d 2))) (/ (* b d) (+ (pow c 2) (pow d 2))))> |
#<alt (+ (/ (* a c) (+ (pow c 2) (pow d 2))) (/ (* b d) (+ (pow c 2) (pow d 2))))> |
#<alt (/ (* b d) (+ (pow c 2) (pow d 2)))> |
#<alt (* b (+ (/ d (+ (pow c 2) (pow d 2))) (/ (* a c) (* b (+ (pow c 2) (pow d 2))))))> |
#<alt (* b (+ (/ d (+ (pow c 2) (pow d 2))) (/ (* a c) (* b (+ (pow c 2) (pow d 2))))))> |
#<alt (* b (+ (/ d (+ (pow c 2) (pow d 2))) (/ (* a c) (* b (+ (pow c 2) (pow d 2))))))> |
#<alt (/ (* b d) (+ (pow c 2) (pow d 2)))> |
#<alt (* -1 (* b (+ (* -1 (/ d (+ (pow c 2) (pow d 2)))) (* -1 (/ (* a c) (* b (+ (pow c 2) (pow d 2))))))))> |
#<alt (* -1 (* b (+ (* -1 (/ d (+ (pow c 2) (pow d 2)))) (* -1 (/ (* a c) (* b (+ (pow c 2) (pow d 2))))))))> |
#<alt (* -1 (* b (+ (* -1 (/ d (+ (pow c 2) (pow d 2)))) (* -1 (/ (* a c) (* b (+ (pow c 2) (pow d 2))))))))> |
#<alt (/ d b)> |
#<alt (+ (* -1 (/ (* a c) (pow b 2))) (/ d b))> |
#<alt (+ (* c (- (* c (- (/ 1 (* b d)) (* -1 (/ (pow a 2) (* (pow b 3) d))))) (/ a (pow b 2)))) (/ d b))> |
#<alt (+ (* c (- (* c (- (+ (* -1 (/ (* a (* c (- (/ 1 (* b d)) (* -1 (/ (pow a 2) (* (pow b 3) d)))))) (* b d))) (/ 1 (* b d))) (* -1 (/ (pow a 2) (* (pow b 3) d))))) (/ a (pow b 2)))) (/ d b))> |
#<alt (/ c a)> |
#<alt (* c (+ (* -1 (/ (* b d) (* (pow a 2) c))) (/ 1 a)))> |
#<alt (* c (- (+ (/ 1 a) (/ (pow d 2) (* a (pow c 2)))) (+ (* -1 (/ (* (pow b 2) (pow d 2)) (* (pow a 3) (pow c 2)))) (/ (* b d) (* (pow a 2) c)))))> |
#<alt (* c (- (+ (* -1 (/ (* b (* d (- (/ (pow d 2) a) (* -1 (/ (* (pow b 2) (pow d 2)) (pow a 3)))))) (* a (pow c 3)))) (+ (/ 1 a) (/ (pow d 2) (* a (pow c 2))))) (+ (* -1 (/ (* (pow b 2) (pow d 2)) (* (pow a 3) (pow c 2)))) (/ (* b d) (* (pow a 2) c)))))> |
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#<alt (* a (+ (* -1 (/ (* b c) (* a (pow d 3)))) (/ 1 (pow d 2))))> |
#<alt (/ a (pow d 2))> |
#<alt (* -1 (* a (- (/ (* b c) (* a (pow d 3))) (/ 1 (pow d 2)))))> |
#<alt (* -1 (* a (- (/ (* b c) (* a (pow d 3))) (/ 1 (pow d 2)))))> |
#<alt (* -1 (* a (- (/ (* b c) (* a (pow d 3))) (/ 1 (pow d 2)))))> |
#<alt (/ b d)> |
#<alt (+ (/ b d) (/ (* a c) (pow d 2)))> |
#<alt (+ (* c (+ (* -1 (/ (* b c) (pow d 3))) (/ a (pow d 2)))) (/ b d))> |
#<alt (+ (* c (+ (* -1 (/ (* b c) (pow d 3))) (/ a (pow d 2)))) (/ b d))> |
#<alt (* -1 (/ (* b (pow c 2)) (pow d 3)))> |
#<alt (* (pow c 2) (+ (* -1 (/ b (pow d 3))) (/ a (* c (pow d 2)))))> |
#<alt (* (pow c 2) (+ (* -1 (/ b (pow d 3))) (+ (/ a (* c (pow d 2))) (/ b (* (pow c 2) d)))))> |
#<alt (* (pow c 2) (+ (* -1 (/ b (pow d 3))) (+ (/ a (* c (pow d 2))) (/ b (* (pow c 2) d)))))> |
#<alt (* -1 (/ (* b (pow c 2)) (pow d 3)))> |
#<alt (* (pow c 2) (+ (* -1 (/ b (pow d 3))) (/ a (* c (pow d 2)))))> |
#<alt (* (pow c 2) (+ (* -1 (/ b (pow d 3))) (* -1 (/ (+ (* -1 (/ a (pow d 2))) (* -1 (/ b (* c d)))) c))))> |
#<alt (* (pow c 2) (+ (* -1 (/ b (pow d 3))) (* -1 (/ (+ (* -1 (/ a (pow d 2))) (* -1 (/ b (* c d)))) c))))> |
#<alt (/ (* a c) (pow d 2))> |
#<alt (+ (* b (+ (* -1 (/ (pow c 2) (pow d 3))) (/ 1 d))) (/ (* a c) (pow d 2)))> |
#<alt (+ (* b (+ (* -1 (/ (pow c 2) (pow d 3))) (/ 1 d))) (/ (* a c) (pow d 2)))> |
#<alt (+ (* b (+ (* -1 (/ (pow c 2) (pow d 3))) (/ 1 d))) (/ (* a c) (pow d 2)))> |
#<alt (* b (+ (* -1 (/ (pow c 2) (pow d 3))) (/ 1 d)))> |
#<alt (* b (+ (* -1 (/ (pow c 2) (pow d 3))) (+ (/ 1 d) (/ (* a c) (* b (pow d 2))))))> |
#<alt (* b (+ (* -1 (/ (pow c 2) (pow d 3))) (+ (/ 1 d) (/ (* a c) (* b (pow d 2))))))> |
#<alt (* b (+ (* -1 (/ (pow c 2) (pow d 3))) (+ (/ 1 d) (/ (* a c) (* b (pow d 2))))))> |
#<alt (* -1 (* b (- (/ (pow c 2) (pow d 3)) (/ 1 d))))> |
#<alt (* -1 (* b (- (+ (* -1 (/ (* a c) (* b (pow d 2)))) (/ (pow c 2) (pow d 3))) (/ 1 d))))> |
#<alt (* -1 (* b (- (+ (* -1 (/ (* a c) (* b (pow d 2)))) (/ (pow c 2) (pow d 3))) (/ 1 d))))> |
#<alt (* -1 (* b (- (+ (* -1 (/ (* a c) (* b (pow d 2)))) (/ (pow c 2) (pow d 3))) (/ 1 d))))> |
#<alt (* -1 (/ (* b (pow c 2)) (pow d 3)))> |
#<alt (/ (+ (* -1 (* b (pow c 2))) (* a (* c d))) (pow d 3))> |
#<alt (/ (+ (* -1 (* b (pow c 2))) (* d (+ (* a c) (* b d)))) (pow d 3))> |
#<alt (/ (+ (* -1 (* b (pow c 2))) (* d (+ (* a c) (* b d)))) (pow d 3))> |
#<alt (/ b d)> |
#<alt (/ (+ b (/ (* a c) d)) d)> |
#<alt (/ (+ b (+ (* -1 (/ (* b (pow c 2)) (pow d 2))) (/ (* a c) d))) d)> |
#<alt (/ (+ b (+ (* -1 (/ (* b (pow c 2)) (pow d 2))) (/ (* a c) d))) d)> |
#<alt (/ b d)> |
#<alt (* -1 (/ (+ (* -1 b) (* -1 (/ (* a c) d))) d))> |
#<alt (* -1 (/ (+ (* -1 b) (* -1 (/ (+ (* -1 (/ (* b (pow c 2)) d)) (* a c)) d))) d))> |
#<alt (* -1 (/ (+ (* -1 b) (* -1 (/ (+ (* -1 (/ (* b (pow c 2)) d)) (* a c)) d))) d))> |
#<alt (+ (* -1 (/ (* b (pow c 2)) (pow d 3))) (/ b d))> |
#<alt (+ (* -1 (/ (* b (pow c 2)) (pow d 3))) (+ (/ b d) (/ (* a c) (pow d 2))))> |
#<alt (+ (* -1 (/ (* b (pow c 2)) (pow d 3))) (+ (/ b d) (/ (* a c) (pow d 2))))> |
#<alt (+ (* -1 (/ (* b (pow c 2)) (pow d 3))) (+ (/ b d) (/ (* a c) (pow d 2))))> |
#<alt (/ (* a c) (pow d 2))> |
#<alt (* a (+ (* -1 (/ (* b (pow c 2)) (* a (pow d 3)))) (+ (/ b (* a d)) (/ c (pow d 2)))))> |
#<alt (* a (+ (* -1 (/ (* b (pow c 2)) (* a (pow d 3)))) (+ (/ b (* a d)) (/ c (pow d 2)))))> |
#<alt (* a (+ (* -1 (/ (* b (pow c 2)) (* a (pow d 3)))) (+ (/ b (* a d)) (/ c (pow d 2)))))> |
#<alt (/ (* a c) (pow d 2))> |
#<alt (* -1 (* a (+ (* -1 (/ c (pow d 2))) (* -1 (/ (+ (* -1 (/ (* b (pow c 2)) (pow d 3))) (/ b d)) a)))))> |
#<alt (* -1 (* a (+ (* -1 (/ c (pow d 2))) (* -1 (/ (+ (* -1 (/ (* b (pow c 2)) (pow d 3))) (/ b d)) a)))))> |
#<alt (* -1 (* a (+ (* -1 (/ c (pow d 2))) (* -1 (/ (+ (* -1 (/ (* b (pow c 2)) (pow d 3))) (/ b d)) a)))))> |
#<alt (* -1 c)> |
#<alt (* -1 c)> |
#<alt (* -1 c)> |
#<alt (* -1 c)> |
#<alt (* -1 c)> |
#<alt (* -1 c)> |
#<alt (* -1 c)> |
#<alt (* -1 c)> |
#<alt (* -1 c)> |
#<alt (* -1 c)> |
#<alt (* -1 c)> |
#<alt (* -1 c)> |
#<alt (/ b (pow d 3))> |
#<alt (/ b (pow d 3))> |
#<alt (/ b (pow d 3))> |
#<alt (/ b (pow d 3))> |
#<alt (/ b (pow d 3))> |
#<alt (/ b (pow d 3))> |
#<alt (/ b (pow d 3))> |
#<alt (/ b (pow d 3))> |
#<alt (/ b (pow d 3))> |
#<alt (/ b (pow d 3))> |
#<alt (/ b (pow d 3))> |
#<alt (/ b (pow d 3))> |
#<alt (/ b (pow d 3))> |
#<alt (/ b (pow d 3))> |
#<alt (/ b (pow d 3))> |
#<alt (/ b (pow d 3))> |
#<alt (/ b (pow d 3))> |
#<alt (/ b (pow d 3))> |
#<alt (/ b (pow d 3))> |
#<alt (/ b (pow d 3))> |
#<alt (/ b (pow d 3))> |
#<alt (/ b (pow d 3))> |
#<alt (/ b (pow d 3))> |
#<alt (/ b (pow d 3))> |
#<alt (* b d)> |
#<alt (+ (* a c) (* b d))> |
#<alt (+ (* a c) (* b d))> |
#<alt (+ (* a c) (* b d))> |
#<alt (* a c)> |
#<alt (* a (+ c (/ (* b d) a)))> |
#<alt (* a (+ c (/ (* b d) a)))> |
#<alt (* a (+ c (/ (* b d) a)))> |
#<alt (* a c)> |
#<alt (* -1 (* a (+ (* -1 c) (* -1 (/ (* b d) a)))))> |
#<alt (* -1 (* a (+ (* -1 c) (* -1 (/ (* b d) a)))))> |
#<alt (* -1 (* a (+ (* -1 c) (* -1 (/ (* b d) a)))))> |
#<alt (* b d)> |
#<alt (+ (* a c) (* b d))> |
#<alt (+ (* a c) (* b d))> |
#<alt (+ (* a c) (* b d))> |
#<alt (* a c)> |
#<alt (* c (+ a (/ (* b d) c)))> |
#<alt (* c (+ a (/ (* b d) c)))> |
#<alt (* c (+ a (/ (* b d) c)))> |
#<alt (* a c)> |
#<alt (* -1 (* c (+ (* -1 a) (* -1 (/ (* b d) c)))))> |
#<alt (* -1 (* c (+ (* -1 a) (* -1 (/ (* b d) c)))))> |
#<alt (* -1 (* c (+ (* -1 a) (* -1 (/ (* b d) c)))))> |
#<alt (* a c)> |
#<alt (+ (* a c) (* b d))> |
#<alt (+ (* a c) (* b d))> |
#<alt (+ (* a c) (* b d))> |
#<alt (* b d)> |
#<alt (* b (+ d (/ (* a c) b)))> |
#<alt (* b (+ d (/ (* a c) b)))> |
#<alt (* b (+ d (/ (* a c) b)))> |
#<alt (* b d)> |
#<alt (* -1 (* b (+ (* -1 d) (* -1 (/ (* a c) b)))))> |
#<alt (* -1 (* b (+ (* -1 d) (* -1 (/ (* a c) b)))))> |
#<alt (* -1 (* b (+ (* -1 d) (* -1 (/ (* a c) b)))))> |
#<alt (* a c)> |
#<alt (+ (* a c) (* b d))> |
#<alt (+ (* a c) (* b d))> |
#<alt (+ (* a c) (* b d))> |
#<alt (* b d)> |
#<alt (* d (+ b (/ (* a c) d)))> |
#<alt (* d (+ b (/ (* a c) d)))> |
#<alt (* d (+ b (/ (* a c) d)))> |
#<alt (* b d)> |
#<alt (* -1 (* d (+ (* -1 b) (* -1 (/ (* a c) d)))))> |
#<alt (* -1 (* d (+ (* -1 b) (* -1 (/ (* a c) d)))))> |
#<alt (* -1 (* d (+ (* -1 b) (* -1 (/ (* a c) d)))))> |
#<alt (/ a (pow d 2))> |
#<alt (/ a (pow d 2))> |
#<alt (/ a (pow d 2))> |
#<alt (/ a (pow d 2))> |
#<alt (/ a (pow d 2))> |
#<alt (/ a (pow d 2))> |
#<alt (/ a (pow d 2))> |
#<alt (/ a (pow d 2))> |
#<alt (/ a (pow d 2))> |
#<alt (/ a (pow d 2))> |
#<alt (/ a (pow d 2))> |
#<alt (/ a (pow d 2))> |
#<alt (/ a (pow d 2))> |
#<alt (/ a (pow d 2))> |
#<alt (/ a (pow d 2))> |
#<alt (/ a (pow d 2))> |
#<alt (/ a (pow d 2))> |
#<alt (/ a (pow d 2))> |
#<alt (/ a (pow d 2))> |
#<alt (/ a (pow d 2))> |
#<alt (/ a (pow d 2))> |
#<alt (/ a (pow d 2))> |
#<alt (/ a (pow d 2))> |
#<alt (/ a (pow d 2))> |
132 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 3.0ms | c | @ | inf | (/ (* b d) (+ (* d d) (* c c))) |
| 2.0ms | b | @ | -inf | (+ (* b (/ d (* c c))) (/ a c)) |
| 2.0ms | a | @ | inf | (/ a (* d d)) |
| 1.0ms | c | @ | 0 | (/ (* b d) (+ (* d d) (* c c))) |
| 1.0ms | c | @ | 0 | (+ (* (neg c) (/ b (* d (* d d)))) (/ a (* d d))) |
| 1× | batch-egg-rewrite |
| 5 738× | /-lowering-/.f32 |
| 5 738× | /-lowering-/.f64 |
| 5 642× | accelerator-lowering-fma.f32 |
| 5 642× | accelerator-lowering-fma.f64 |
| 3 980× | *-lowering-*.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 28 | 138 |
| 1 | 193 | 134 |
| 2 | 1875 | 130 |
| 0 | 8599 | 120 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(/ 1 (/ (+ (* c c) (* d d)) (+ (* a c) (* b d)))) |
(/ (+ (* c c) (* d d)) (+ (* a c) (* b d))) |
(+ (* c c) (* d d)) |
(* d d) |
(/ a c) |
(/ (* b d) (+ (* d d) (* c c))) |
(* b d) |
(+ (* d d) (* c c)) |
(* c c) |
(+ (* b (/ d (* c c))) (/ a c)) |
(/ d (* c c)) |
(+ (* (neg c) (/ b (* d (* d d)))) (/ a (* d d))) |
(+ (* c (+ (* (neg c) (/ b (* d (* d d)))) (/ a (* d d)))) (/ b d)) |
(neg c) |
(/ b (* d (* d d))) |
(+ (* a c) (* b d)) |
(/ a (* d d)) |
| Outputs |
|---|
(+.f64 (/.f64 (*.f64 d b) (fma.f64 d d (*.f64 c c))) (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 d d (*.f64 c c))) (*.f64 c a))) |
(+.f64 (/.f64 (*.f64 d b) (fma.f64 d d (*.f64 c c))) (*.f64 (*.f64 c a) (/.f64 #s(literal 1 binary64) (fma.f64 d d (*.f64 c c))))) |
(+.f64 (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 d d (*.f64 c c))) (*.f64 c a)) (/.f64 (*.f64 d b) (fma.f64 d d (*.f64 c c)))) |
(+.f64 (*.f64 (*.f64 c a) (/.f64 #s(literal 1 binary64) (fma.f64 d d (*.f64 c c)))) (/.f64 (*.f64 d b) (fma.f64 d d (*.f64 c c)))) |
(exp.f64 (*.f64 (log.f64 (/.f64 (fma.f64 d d (*.f64 c c)) (fma.f64 c a (*.f64 d b)))) #s(literal -1 binary64))) |
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 (fma.f64 d d (*.f64 c c)))) (/.f64 (fma.f64 c a (*.f64 d b)) (neg.f64 (fma.f64 d d (*.f64 c c))))) |
(-.f64 (/.f64 (/.f64 (*.f64 (*.f64 c c) (*.f64 a a)) (-.f64 (*.f64 c a) (*.f64 d b))) (fma.f64 d d (*.f64 c c))) (/.f64 (/.f64 (*.f64 d (*.f64 b (*.f64 d b))) (-.f64 (*.f64 c a) (*.f64 d b))) (fma.f64 d d (*.f64 c c)))) |
(-.f64 (/.f64 (*.f64 (*.f64 c c) (*.f64 a a)) (*.f64 (fma.f64 d d (*.f64 c c)) (-.f64 (*.f64 c a) (*.f64 d b)))) (/.f64 (*.f64 d (*.f64 b (*.f64 d b))) (*.f64 (fma.f64 d d (*.f64 c c)) (-.f64 (*.f64 c a) (*.f64 d b))))) |
(fma.f64 #s(literal 1 binary64) (/.f64 (*.f64 d b) (fma.f64 d d (*.f64 c c))) (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 d d (*.f64 c c))) (*.f64 c a))) |
(fma.f64 #s(literal 1 binary64) (/.f64 (*.f64 d b) (fma.f64 d d (*.f64 c c))) (*.f64 (*.f64 c a) (/.f64 #s(literal 1 binary64) (fma.f64 d d (*.f64 c c))))) |
(fma.f64 d (*.f64 b (/.f64 #s(literal 1 binary64) (fma.f64 d d (*.f64 c c)))) (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 d d (*.f64 c c))) (*.f64 c a))) |
(fma.f64 d (*.f64 b (/.f64 #s(literal 1 binary64) (fma.f64 d d (*.f64 c c)))) (*.f64 (*.f64 c a) (/.f64 #s(literal 1 binary64) (fma.f64 d d (*.f64 c c))))) |
(fma.f64 d (/.f64 b (fma.f64 d d (*.f64 c c))) (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 d d (*.f64 c c))) (*.f64 c a))) |
(fma.f64 d (/.f64 b (fma.f64 d d (*.f64 c c))) (*.f64 (*.f64 c a) (/.f64 #s(literal 1 binary64) (fma.f64 d d (*.f64 c c))))) |
(fma.f64 (*.f64 c a) (/.f64 #s(literal 1 binary64) (fma.f64 d d (*.f64 c c))) (/.f64 (*.f64 d b) (fma.f64 d d (*.f64 c c)))) |
(fma.f64 b (/.f64 d (fma.f64 d d (*.f64 c c))) (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 d d (*.f64 c c))) (*.f64 c a))) |
(fma.f64 b (/.f64 d (fma.f64 d d (*.f64 c c))) (*.f64 (*.f64 c a) (/.f64 #s(literal 1 binary64) (fma.f64 d d (*.f64 c c))))) |
(fma.f64 (*.f64 d b) (/.f64 #s(literal 1 binary64) (fma.f64 d d (*.f64 c c))) (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 d d (*.f64 c c))) (*.f64 c a))) |
(fma.f64 (*.f64 d b) (/.f64 #s(literal 1 binary64) (fma.f64 d d (*.f64 c c))) (*.f64 (*.f64 c a) (/.f64 #s(literal 1 binary64) (fma.f64 d d (*.f64 c c))))) |
(fma.f64 (*.f64 d (neg.f64 b)) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 d d (*.f64 c c)))) (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 d d (*.f64 c c))) (*.f64 c a))) |
(fma.f64 (*.f64 d (neg.f64 b)) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 d d (*.f64 c c)))) (*.f64 (*.f64 c a) (/.f64 #s(literal 1 binary64) (fma.f64 d d (*.f64 c c))))) |
(fma.f64 (/.f64 #s(literal 1 binary64) (fma.f64 d d (*.f64 c c))) (*.f64 c a) (/.f64 (*.f64 d b) (fma.f64 d d (*.f64 c c)))) |
(fma.f64 (/.f64 #s(literal 1 binary64) (fma.f64 d d (*.f64 c c))) (*.f64 d b) (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 d d (*.f64 c c))) (*.f64 c a))) |
(fma.f64 (/.f64 #s(literal 1 binary64) (fma.f64 d d (*.f64 c c))) (*.f64 d b) (*.f64 (*.f64 c a) (/.f64 #s(literal 1 binary64) (fma.f64 d d (*.f64 c c))))) |
(fma.f64 (/.f64 #s(literal 1 binary64) (fma.f64 d d (*.f64 c c))) (pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 d b)) #s(literal -1 binary64)) (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 d d (*.f64 c c))) (*.f64 c a))) |
(fma.f64 (/.f64 #s(literal 1 binary64) (fma.f64 d d (*.f64 c c))) (pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 d b)) #s(literal -1 binary64)) (*.f64 (*.f64 c a) (/.f64 #s(literal 1 binary64) (fma.f64 d d (*.f64 c c))))) |
(fma.f64 (/.f64 d (fma.f64 d d (*.f64 c c))) b (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 d d (*.f64 c c))) (*.f64 c a))) |
(fma.f64 (/.f64 d (fma.f64 d d (*.f64 c c))) b (*.f64 (*.f64 c a) (/.f64 #s(literal 1 binary64) (fma.f64 d d (*.f64 c c))))) |
(fma.f64 (/.f64 d #s(literal 1 binary64)) (/.f64 b (fma.f64 d d (*.f64 c c))) (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 d d (*.f64 c c))) (*.f64 c a))) |
(fma.f64 (/.f64 d #s(literal 1 binary64)) (/.f64 b (fma.f64 d d (*.f64 c c))) (*.f64 (*.f64 c a) (/.f64 #s(literal 1 binary64) (fma.f64 d d (*.f64 c c))))) |
(fma.f64 (/.f64 d (fma.f64 (*.f64 c c) (*.f64 c (*.f64 c (*.f64 c c))) (*.f64 (*.f64 d (*.f64 d d)) (*.f64 d (*.f64 d d))))) (/.f64 b (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 d d) (*.f64 (+.f64 d c) (-.f64 d c)) (*.f64 c (*.f64 c (*.f64 c c)))))) (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 d d (*.f64 c c))) (*.f64 c a))) |
(fma.f64 (/.f64 d (fma.f64 (*.f64 c c) (*.f64 c (*.f64 c (*.f64 c c))) (*.f64 (*.f64 d (*.f64 d d)) (*.f64 d (*.f64 d d))))) (/.f64 b (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 d d) (*.f64 (+.f64 d c) (-.f64 d c)) (*.f64 c (*.f64 c (*.f64 c c)))))) (*.f64 (*.f64 c a) (/.f64 #s(literal 1 binary64) (fma.f64 d d (*.f64 c c))))) |
(fma.f64 (/.f64 d (fma.f64 (*.f64 c c) (*.f64 c (*.f64 c (*.f64 c c))) (*.f64 (*.f64 d (*.f64 d d)) (*.f64 d (*.f64 d d))))) (/.f64 b (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 c c) (*.f64 (+.f64 c d) (-.f64 c d)) (*.f64 d (*.f64 d (*.f64 d d)))))) (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 d d (*.f64 c c))) (*.f64 c a))) |
(fma.f64 (/.f64 d (fma.f64 (*.f64 c c) (*.f64 c (*.f64 c (*.f64 c c))) (*.f64 (*.f64 d (*.f64 d d)) (*.f64 d (*.f64 d d))))) (/.f64 b (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 c c) (*.f64 (+.f64 c d) (-.f64 c d)) (*.f64 d (*.f64 d (*.f64 d d)))))) (*.f64 (*.f64 c a) (/.f64 #s(literal 1 binary64) (fma.f64 d d (*.f64 c c))))) |
(fma.f64 (/.f64 d (*.f64 (fma.f64 d d (*.f64 c c)) (*.f64 (+.f64 c d) (-.f64 c d)))) (/.f64 b (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 c d) (-.f64 c d)))) (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 d d (*.f64 c c))) (*.f64 c a))) |
(fma.f64 (/.f64 d (*.f64 (fma.f64 d d (*.f64 c c)) (*.f64 (+.f64 c d) (-.f64 c d)))) (/.f64 b (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 c d) (-.f64 c d)))) (*.f64 (*.f64 c a) (/.f64 #s(literal 1 binary64) (fma.f64 d d (*.f64 c c))))) |
(fma.f64 (/.f64 d (*.f64 (fma.f64 d d (*.f64 c c)) (*.f64 (+.f64 d c) (-.f64 d c)))) (/.f64 b (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 d c) (-.f64 d c)))) (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 d d (*.f64 c c))) (*.f64 c a))) |
(fma.f64 (/.f64 d (*.f64 (fma.f64 d d (*.f64 c c)) (*.f64 (+.f64 d c) (-.f64 d c)))) (/.f64 b (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 d c) (-.f64 d c)))) (*.f64 (*.f64 c a) (/.f64 #s(literal 1 binary64) (fma.f64 d d (*.f64 c c))))) |
(fma.f64 (/.f64 (*.f64 d b) (fma.f64 (*.f64 c c) (*.f64 c (*.f64 c (*.f64 c c))) (*.f64 (*.f64 d (*.f64 d d)) (*.f64 d (*.f64 d d))))) (fma.f64 (*.f64 d d) (*.f64 (+.f64 d c) (-.f64 d c)) (*.f64 c (*.f64 c (*.f64 c c)))) (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 d d (*.f64 c c))) (*.f64 c a))) |
(fma.f64 (/.f64 (*.f64 d b) (fma.f64 (*.f64 c c) (*.f64 c (*.f64 c (*.f64 c c))) (*.f64 (*.f64 d (*.f64 d d)) (*.f64 d (*.f64 d d))))) (fma.f64 (*.f64 d d) (*.f64 (+.f64 d c) (-.f64 d c)) (*.f64 c (*.f64 c (*.f64 c c)))) (*.f64 (*.f64 c a) (/.f64 #s(literal 1 binary64) (fma.f64 d d (*.f64 c c))))) |
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(/.f64 (neg.f64 (neg.f64 (*.f64 (fma.f64 c a (*.f64 d b)) (-.f64 (*.f64 c a) (*.f64 d b))))) (neg.f64 (neg.f64 (-.f64 (*.f64 c a) (*.f64 d b))))) |
(/.f64 (neg.f64 (-.f64 (*.f64 d (*.f64 b (*.f64 d b))) (*.f64 (*.f64 c c) (*.f64 a a)))) (neg.f64 (-.f64 (*.f64 d b) (*.f64 c a)))) |
(/.f64 (-.f64 (pow.f64 (/.f64 (*.f64 (*.f64 c c) (*.f64 a a)) (-.f64 (*.f64 c a) (*.f64 d b))) #s(literal 3 binary64)) (pow.f64 (/.f64 (*.f64 d (*.f64 b (*.f64 d b))) (-.f64 (*.f64 c a) (*.f64 d b))) #s(literal 3 binary64))) (fma.f64 (/.f64 (*.f64 (*.f64 c c) (*.f64 a a)) (-.f64 (*.f64 c a) (*.f64 d b))) (/.f64 (*.f64 (*.f64 c c) (*.f64 a a)) (-.f64 (*.f64 c a) (*.f64 d b))) (fma.f64 (/.f64 (*.f64 d (*.f64 b (*.f64 d b))) (-.f64 (*.f64 c a) (*.f64 d b))) (/.f64 (*.f64 d (*.f64 b (*.f64 d b))) (-.f64 (*.f64 c a) (*.f64 d b))) (*.f64 (/.f64 (*.f64 (*.f64 c c) (*.f64 a a)) (-.f64 (*.f64 c a) (*.f64 d b))) (/.f64 (*.f64 d (*.f64 b (*.f64 d b))) (-.f64 (*.f64 c a) (*.f64 d b))))))) |
(pow.f64 (fma.f64 c a (*.f64 d b)) #s(literal 1 binary64)) |
(pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 c a (*.f64 d b))) #s(literal -1 binary64)) |
(*.f64 #s(literal 1 binary64) (fma.f64 c a (*.f64 d b))) |
(*.f64 (fma.f64 (*.f64 c a) (*.f64 (*.f64 c c) (*.f64 a a)) (*.f64 (*.f64 d b) (*.f64 d (*.f64 b (*.f64 d b))))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 d b) (-.f64 (*.f64 d b) (*.f64 c a)) (*.f64 (*.f64 c c) (*.f64 a a))))) |
(*.f64 (*.f64 (fma.f64 c a (*.f64 d b)) (-.f64 (*.f64 c a) (*.f64 d b))) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 c a) (*.f64 d b)))) |
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 c a) (*.f64 (*.f64 c c) (*.f64 a a)) (*.f64 (*.f64 d b) (*.f64 d (*.f64 b (*.f64 d b)))))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 d b) (-.f64 (*.f64 d b) (*.f64 c a)) (*.f64 (*.f64 c c) (*.f64 a a))))) |
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 c a (*.f64 d b)) (-.f64 (*.f64 c a) (*.f64 d b)))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 c a) (*.f64 d b)))) |
(exp.f64 (*.f64 (log.f64 (/.f64 (*.f64 d d) a)) #s(literal -1 binary64))) |
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 (*.f64 d d))) (/.f64 a (neg.f64 (*.f64 d d)))) |
(neg.f64 (/.f64 a (neg.f64 (*.f64 d d)))) |
(neg.f64 (/.f64 (neg.f64 a) (*.f64 d d))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 d d) a)) |
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (/.f64 (*.f64 d d) a)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 d d) (*.f64 a #s(literal 1 binary64)))) |
(/.f64 a (*.f64 d d)) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (*.f64 d d) a))) |
(/.f64 (neg.f64 a) (neg.f64 (*.f64 d d))) |
(/.f64 (/.f64 a d) d) |
(/.f64 (*.f64 a #s(literal 1 binary64)) (*.f64 d d)) |
(/.f64 (neg.f64 (neg.f64 a)) (neg.f64 (neg.f64 (*.f64 d d)))) |
(/.f64 (neg.f64 (/.f64 a d)) (neg.f64 d)) |
(/.f64 (neg.f64 (*.f64 a #s(literal 1 binary64))) (neg.f64 (*.f64 d d))) |
(/.f64 (neg.f64 (neg.f64 (neg.f64 a))) (neg.f64 (neg.f64 (neg.f64 (*.f64 d d))))) |
(/.f64 (neg.f64 (neg.f64 (/.f64 a d))) (neg.f64 (neg.f64 d))) |
(pow.f64 (/.f64 (*.f64 d d) a) #s(literal -1 binary64)) |
(*.f64 #s(literal 1 binary64) (/.f64 a (*.f64 d d))) |
(*.f64 a (/.f64 #s(literal 1 binary64) (*.f64 d d))) |
(*.f64 (neg.f64 a) (/.f64 #s(literal 1 binary64) (neg.f64 (*.f64 d d)))) |
(*.f64 (/.f64 #s(literal 1 binary64) d) (/.f64 a d)) |
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 d d)) a) |
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 d d)) (pow.f64 (/.f64 #s(literal 1 binary64) a) #s(literal -1 binary64))) |
(*.f64 (/.f64 a d) (/.f64 #s(literal 1 binary64) d)) |
(*.f64 (/.f64 #s(literal -1 binary64) d) (/.f64 a (neg.f64 d))) |
| 1× | egg-herbie |
| 7 688× | *-lowering-*.f32 |
| 7 688× | *-lowering-*.f64 |
| 7 458× | accelerator-lowering-fma.f32 |
| 7 458× | accelerator-lowering-fma.f64 |
| 3 578× | /-lowering-/.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 699 | 6714 |
| 1 | 2378 | 6525 |
| 0 | 8635 | 6217 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(/ b d) |
(+ (/ b d) (/ (* a c) (pow d 2))) |
(+ (* c (+ (* -1 (/ (* b c) (pow d 3))) (/ a (pow d 2)))) (/ b d)) |
(+ (* c (+ (* c (- (* -1 (/ (* a c) (pow d 4))) (/ b (pow d 3)))) (/ a (pow d 2)))) (/ b d)) |
(/ a c) |
(/ (+ a (/ (* b d) c)) c) |
(/ (+ a (+ (* -1 (/ (* a (pow d 2)) (pow c 2))) (/ (* b d) c))) c) |
(/ (- (+ a (+ (* -1 (/ (* b (pow d 3)) (pow c 3))) (/ (* b d) c))) (/ (* a (pow d 2)) (pow c 2))) c) |
(/ a c) |
(* -1 (/ (+ (* -1 a) (* -1 (/ (* b d) c))) c)) |
(* -1 (/ (+ (* -1 a) (* -1 (/ (+ (* -1 (/ (* a (pow d 2)) c)) (* b d)) c))) c)) |
(* -1 (/ (+ (* -1 a) (* -1 (/ (+ (* -1 (/ (- (/ (* b (pow d 3)) c) (* -1 (* a (pow d 2)))) c)) (* b d)) c))) c)) |
(/ a c) |
(+ (/ a c) (/ (* b d) (pow c 2))) |
(+ (* d (+ (* -1 (/ (* a d) (pow c 3))) (/ b (pow c 2)))) (/ a c)) |
(+ (* d (+ (* d (- (* -1 (/ (* b d) (pow c 4))) (/ a (pow c 3)))) (/ b (pow c 2)))) (/ a c)) |
(/ b d) |
(/ (+ b (/ (* a c) d)) d) |
(/ (+ b (+ (* -1 (/ (* b (pow c 2)) (pow d 2))) (/ (* a c) d))) d) |
(/ (- (+ b (+ (* -1 (/ (* a (pow c 3)) (pow d 3))) (/ (* a c) d))) (/ (* b (pow c 2)) (pow d 2))) d) |
(/ b d) |
(* -1 (/ (+ (* -1 b) (* -1 (/ (* a c) d))) d)) |
(* -1 (/ (+ (* -1 b) (* -1 (/ (+ (* -1 (/ (* b (pow c 2)) d)) (* a c)) d))) d)) |
(* -1 (/ (+ (* -1 b) (* -1 (/ (+ (* -1 (/ (- (/ (* a (pow c 3)) d) (* -1 (* b (pow c 2)))) d)) (* a c)) d))) d)) |
(/ (* b d) (+ (pow c 2) (pow d 2))) |
(+ (/ (* a c) (+ (pow c 2) (pow d 2))) (/ (* b d) (+ (pow c 2) (pow d 2)))) |
(+ (/ (* a c) (+ (pow c 2) (pow d 2))) (/ (* b d) (+ (pow c 2) (pow d 2)))) |
(+ (/ (* a c) (+ (pow c 2) (pow d 2))) (/ (* b d) (+ (pow c 2) (pow d 2)))) |
(/ (* a c) (+ (pow c 2) (pow d 2))) |
(* a (+ (/ c (+ (pow c 2) (pow d 2))) (/ (* b d) (* a (+ (pow c 2) (pow d 2)))))) |
(* a (+ (/ c (+ (pow c 2) (pow d 2))) (/ (* b d) (* a (+ (pow c 2) (pow d 2)))))) |
(* a (+ (/ c (+ (pow c 2) (pow d 2))) (/ (* b d) (* a (+ (pow c 2) (pow d 2)))))) |
(/ (* a c) (+ (pow c 2) (pow d 2))) |
(* -1 (* a (+ (* -1 (/ c (+ (pow c 2) (pow d 2)))) (* -1 (/ (* b d) (* a (+ (pow c 2) (pow d 2)))))))) |
(* -1 (* a (+ (* -1 (/ c (+ (pow c 2) (pow d 2)))) (* -1 (/ (* b d) (* a (+ (pow c 2) (pow d 2)))))))) |
(* -1 (* a (+ (* -1 (/ c (+ (pow c 2) (pow d 2)))) (* -1 (/ (* b d) (* a (+ (pow c 2) (pow d 2)))))))) |
(/ (* a c) (+ (pow c 2) (pow d 2))) |
(+ (/ (* a c) (+ (pow c 2) (pow d 2))) (/ (* b d) (+ (pow c 2) (pow d 2)))) |
(+ (/ (* a c) (+ (pow c 2) (pow d 2))) (/ (* b d) (+ (pow c 2) (pow d 2)))) |
(+ (/ (* a c) (+ (pow c 2) (pow d 2))) (/ (* b d) (+ (pow c 2) (pow d 2)))) |
(/ (* b d) (+ (pow c 2) (pow d 2))) |
(* b (+ (/ d (+ (pow c 2) (pow d 2))) (/ (* a c) (* b (+ (pow c 2) (pow d 2)))))) |
(* b (+ (/ d (+ (pow c 2) (pow d 2))) (/ (* a c) (* b (+ (pow c 2) (pow d 2)))))) |
(* b (+ (/ d (+ (pow c 2) (pow d 2))) (/ (* a c) (* b (+ (pow c 2) (pow d 2)))))) |
(/ (* b d) (+ (pow c 2) (pow d 2))) |
(* -1 (* b (+ (* -1 (/ d (+ (pow c 2) (pow d 2)))) (* -1 (/ (* a c) (* b (+ (pow c 2) (pow d 2)))))))) |
(* -1 (* b (+ (* -1 (/ d (+ (pow c 2) (pow d 2)))) (* -1 (/ (* a c) (* b (+ (pow c 2) (pow d 2)))))))) |
(* -1 (* b (+ (* -1 (/ d (+ (pow c 2) (pow d 2)))) (* -1 (/ (* a c) (* b (+ (pow c 2) (pow d 2)))))))) |
(/ d b) |
(+ (* -1 (/ (* a c) (pow b 2))) (/ d b)) |
(+ (* c (- (* c (- (/ 1 (* b d)) (* -1 (/ (pow a 2) (* (pow b 3) d))))) (/ a (pow b 2)))) (/ d b)) |
(+ (* c (- (* c (- (+ (* -1 (/ (* a (* c (- (/ 1 (* b d)) (* -1 (/ (pow a 2) (* (pow b 3) d)))))) (* b d))) (/ 1 (* b d))) (* -1 (/ (pow a 2) (* (pow b 3) d))))) (/ a (pow b 2)))) (/ d b)) |
(/ c a) |
(* c (+ (* -1 (/ (* b d) (* (pow a 2) c))) (/ 1 a))) |
(* c (- (+ (/ 1 a) (/ (pow d 2) (* a (pow c 2)))) (+ (* -1 (/ (* (pow b 2) (pow d 2)) (* (pow a 3) (pow c 2)))) (/ (* b d) (* (pow a 2) c))))) |
(* c (- (+ (* -1 (/ (* b (* d (- (/ (pow d 2) a) (* -1 (/ (* (pow b 2) (pow d 2)) (pow a 3)))))) (* a (pow c 3)))) (+ (/ 1 a) (/ (pow d 2) (* a (pow c 2))))) (+ (* -1 (/ (* (pow b 2) (pow d 2)) (* (pow a 3) (pow c 2)))) (/ (* b d) (* (pow a 2) c))))) |
(/ c a) |
(* -1 (* c (- (/ (* b d) (* (pow a 2) c)) (/ 1 a)))) |
(* -1 (* c (- (* -1 (/ (- (* -1 (/ (- (* -1 (/ (pow d 2) a)) (/ (* (pow b 2) (pow d 2)) (pow a 3))) c)) (/ (* b d) (pow a 2))) c)) (/ 1 a)))) |
(* -1 (* c (- (* -1 (/ (- (* -1 (/ (- (+ (* -1 (/ (* b (* d (- (* -1 (/ (pow d 2) a)) (/ (* (pow b 2) (pow d 2)) (pow a 3))))) (* a c))) (* -1 (/ (pow d 2) a))) (/ (* (pow b 2) (pow d 2)) (pow a 3))) c)) (/ (* b d) (pow a 2))) c)) (/ 1 a)))) |
(/ c a) |
(+ (* -1 (/ (* b d) (pow a 2))) (/ c a)) |
(+ (* d (- (* d (- (/ 1 (* a c)) (* -1 (/ (pow b 2) (* (pow a 3) c))))) (/ b (pow a 2)))) (/ c a)) |
(+ (* d (- (* d (- (+ (* -1 (/ (* b (* d (- (/ 1 (* a c)) (* -1 (/ (pow b 2) (* (pow a 3) c)))))) (* a c))) (/ 1 (* a c))) (* -1 (/ (pow b 2) (* (pow a 3) c))))) (/ b (pow a 2)))) (/ c a)) |
(/ d b) |
(* d (+ (* -1 (/ (* a c) (* (pow b 2) d))) (/ 1 b))) |
(* d (- (+ (/ 1 b) (/ (pow c 2) (* b (pow d 2)))) (+ (* -1 (/ (* (pow a 2) (pow c 2)) (* (pow b 3) (pow d 2)))) (/ (* a c) (* (pow b 2) d))))) |
(* d (- (+ (* -1 (/ (* a (* c (- (/ (pow c 2) b) (* -1 (/ (* (pow a 2) (pow c 2)) (pow b 3)))))) (* b (pow d 3)))) (+ (/ 1 b) (/ (pow c 2) (* b (pow d 2))))) (+ (* -1 (/ (* (pow a 2) (pow c 2)) (* (pow b 3) (pow d 2)))) (/ (* a c) (* (pow b 2) d))))) |
(/ d b) |
(* -1 (* d (- (/ (* a c) (* (pow b 2) d)) (/ 1 b)))) |
(* -1 (* d (- (* -1 (/ (- (* -1 (/ (- (* -1 (/ (pow c 2) b)) (/ (* (pow a 2) (pow c 2)) (pow b 3))) d)) (/ (* a c) (pow b 2))) d)) (/ 1 b)))) |
(* -1 (* d (- (* -1 (/ (- (* -1 (/ (- (+ (* -1 (/ (* a (* c (- (* -1 (/ (pow c 2) b)) (/ (* (pow a 2) (pow c 2)) (pow b 3))))) (* b d))) (* -1 (/ (pow c 2) b))) (/ (* (pow a 2) (pow c 2)) (pow b 3))) d)) (/ (* a c) (pow b 2))) d)) (/ 1 b)))) |
(/ (+ (pow c 2) (pow d 2)) (* b d)) |
(+ (* -1 (/ (* a (* c (+ (pow c 2) (pow d 2)))) (* (pow b 2) (pow d 2)))) (+ (/ d b) (/ (pow c 2) (* b d)))) |
(+ (* a (- (/ (* a (* (pow c 2) (+ (pow c 2) (pow d 2)))) (* (pow b 3) (pow d 3))) (/ (* c (+ (pow c 2) (pow d 2))) (* (pow b 2) (pow d 2))))) (+ (/ d b) (/ (pow c 2) (* b d)))) |
(+ (* a (- (* a (- (* -1 (/ (* a (* (pow c 3) (+ (pow c 2) (pow d 2)))) (* (pow b 4) (pow d 4)))) (* -1 (/ (* (pow c 2) (+ (pow c 2) (pow d 2))) (* (pow b 3) (pow d 3)))))) (/ (* c (+ (pow c 2) (pow d 2))) (* (pow b 2) (pow d 2))))) (+ (/ d b) (/ (pow c 2) (* b d)))) |
(/ (+ (pow c 2) (pow d 2)) (* a c)) |
(/ (+ c (+ (* -1 (/ (* b (* d (+ (pow c 2) (pow d 2)))) (* a (pow c 2)))) (/ (pow d 2) c))) a) |
(/ (- (+ c (+ (/ (* (pow b 2) (* (pow d 2) (+ (pow c 2) (pow d 2)))) (* (pow a 2) (pow c 3))) (/ (pow d 2) c))) (/ (* b (* d (+ (pow c 2) (pow d 2)))) (* a (pow c 2)))) a) |
(/ (- (+ c (+ (* -1 (/ (* (pow b 3) (* (pow d 3) (+ (pow c 2) (pow d 2)))) (* (pow a 3) (pow c 4)))) (/ (pow d 2) c))) (+ (* -1 (/ (* (pow b 2) (* (pow d 2) (+ (pow c 2) (pow d 2)))) (* (pow a 2) (pow c 3)))) (/ (* b (* d (+ (pow c 2) (pow d 2)))) (* a (pow c 2))))) a) |
(/ (+ (pow c 2) (pow d 2)) (* a c)) |
(* -1 (/ (+ (* -1 (/ (+ (pow c 2) (pow d 2)) c)) (/ (* b (* d (+ (pow c 2) (pow d 2)))) (* a (pow c 2)))) a)) |
(* -1 (/ (+ (* -1 (/ (+ (pow c 2) (pow d 2)) c)) (* -1 (/ (- (/ (* (pow b 2) (* (pow d 2) (+ (pow c 2) (pow d 2)))) (* a (pow c 3))) (/ (* b (* d (+ (pow c 2) (pow d 2)))) (pow c 2))) a))) a)) |
(* -1 (/ (+ (* -1 (/ (+ (pow c 2) (pow d 2)) c)) (* -1 (/ (- (* -1 (/ (- (/ (* (pow b 3) (* (pow d 3) (+ (pow c 2) (pow d 2)))) (* a (pow c 4))) (/ (* (pow b 2) (* (pow d 2) (+ (pow c 2) (pow d 2)))) (pow c 3))) a)) (/ (* b (* d (+ (pow c 2) (pow d 2)))) (pow c 2))) a))) a)) |
(/ (+ (pow c 2) (pow d 2)) (* a c)) |
(+ (* -1 (/ (* b (* d (+ (pow c 2) (pow d 2)))) (* (pow a 2) (pow c 2)))) (+ (/ c a) (/ (pow d 2) (* a c)))) |
(+ (* b (- (/ (* b (* (pow d 2) (+ (pow c 2) (pow d 2)))) (* (pow a 3) (pow c 3))) (/ (* d (+ (pow c 2) (pow d 2))) (* (pow a 2) (pow c 2))))) (+ (/ c a) (/ (pow d 2) (* a c)))) |
(+ (* b (- (* b (- (* -1 (/ (* b (* (pow d 3) (+ (pow c 2) (pow d 2)))) (* (pow a 4) (pow c 4)))) (* -1 (/ (* (pow d 2) (+ (pow c 2) (pow d 2))) (* (pow a 3) (pow c 3)))))) (/ (* d (+ (pow c 2) (pow d 2))) (* (pow a 2) (pow c 2))))) (+ (/ c a) (/ (pow d 2) (* a c)))) |
(/ (+ (pow c 2) (pow d 2)) (* b d)) |
(/ (+ d (+ (* -1 (/ (* a (* c (+ (pow c 2) (pow d 2)))) (* b (pow d 2)))) (/ (pow c 2) d))) b) |
(/ (- (+ d (+ (/ (* (pow a 2) (* (pow c 2) (+ (pow c 2) (pow d 2)))) (* (pow b 2) (pow d 3))) (/ (pow c 2) d))) (/ (* a (* c (+ (pow c 2) (pow d 2)))) (* b (pow d 2)))) b) |
(/ (- (+ d (+ (* -1 (/ (* (pow a 3) (* (pow c 3) (+ (pow c 2) (pow d 2)))) (* (pow b 3) (pow d 4)))) (/ (pow c 2) d))) (+ (* -1 (/ (* (pow a 2) (* (pow c 2) (+ (pow c 2) (pow d 2)))) (* (pow b 2) (pow d 3)))) (/ (* a (* c (+ (pow c 2) (pow d 2)))) (* b (pow d 2))))) b) |
(/ (+ (pow c 2) (pow d 2)) (* b d)) |
(* -1 (/ (+ (* -1 (/ (+ (pow c 2) (pow d 2)) d)) (/ (* a (* c (+ (pow c 2) (pow d 2)))) (* b (pow d 2)))) b)) |
(* -1 (/ (+ (* -1 (/ (+ (pow c 2) (pow d 2)) d)) (* -1 (/ (- (/ (* (pow a 2) (* (pow c 2) (+ (pow c 2) (pow d 2)))) (* b (pow d 3))) (/ (* a (* c (+ (pow c 2) (pow d 2)))) (pow d 2))) b))) b)) |
(* -1 (/ (+ (* -1 (/ (+ (pow c 2) (pow d 2)) d)) (* -1 (/ (- (* -1 (/ (- (/ (* (pow a 3) (* (pow c 3) (+ (pow c 2) (pow d 2)))) (* b (pow d 4))) (/ (* (pow a 2) (* (pow c 2) (+ (pow c 2) (pow d 2)))) (pow d 3))) b)) (/ (* a (* c (+ (pow c 2) (pow d 2)))) (pow d 2))) b))) b)) |
(pow d 2) |
(+ (pow c 2) (pow d 2)) |
(+ (pow c 2) (pow d 2)) |
(+ (pow c 2) (pow d 2)) |
(pow c 2) |
(* (pow c 2) (+ 1 (/ (pow d 2) (pow c 2)))) |
(* (pow c 2) (+ 1 (/ (pow d 2) (pow c 2)))) |
(* (pow c 2) (+ 1 (/ (pow d 2) (pow c 2)))) |
(pow c 2) |
(* (pow c 2) (+ 1 (/ (pow d 2) (pow c 2)))) |
(* (pow c 2) (+ 1 (/ (pow d 2) (pow c 2)))) |
(* (pow c 2) (+ 1 (/ (pow d 2) (pow c 2)))) |
(pow c 2) |
(+ (pow c 2) (pow d 2)) |
(+ (pow c 2) (pow d 2)) |
(+ (pow c 2) (pow d 2)) |
(pow d 2) |
(* (pow d 2) (+ 1 (/ (pow c 2) (pow d 2)))) |
(* (pow d 2) (+ 1 (/ (pow c 2) (pow d 2)))) |
(* (pow d 2) (+ 1 (/ (pow c 2) (pow d 2)))) |
(pow d 2) |
(* (pow d 2) (+ 1 (/ (pow c 2) (pow d 2)))) |
(* (pow d 2) (+ 1 (/ (pow c 2) (pow d 2)))) |
(* (pow d 2) (+ 1 (/ (pow c 2) (pow d 2)))) |
(pow d 2) |
(pow d 2) |
(pow d 2) |
(pow d 2) |
(pow d 2) |
(pow d 2) |
(pow d 2) |
(pow d 2) |
(pow d 2) |
(pow d 2) |
(pow d 2) |
(pow d 2) |
(/ a c) |
(/ a c) |
(/ a c) |
(/ a c) |
(/ a c) |
(/ a c) |
(/ a c) |
(/ a c) |
(/ a c) |
(/ a c) |
(/ a c) |
(/ a c) |
(/ a c) |
(/ a c) |
(/ a c) |
(/ a c) |
(/ a c) |
(/ a c) |
(/ a c) |
(/ a c) |
(/ a c) |
(/ a c) |
(/ a c) |
(/ a c) |
(/ (* b d) (+ (pow c 2) (pow d 2))) |
(/ (* b d) (+ (pow c 2) (pow d 2))) |
(/ (* b d) (+ (pow c 2) (pow d 2))) |
(/ (* b d) (+ (pow c 2) (pow d 2))) |
(/ (* b d) (+ (pow c 2) (pow d 2))) |
(/ (* b d) (+ (pow c 2) (pow d 2))) |
(/ (* b d) (+ (pow c 2) (pow d 2))) |
(/ (* b d) (+ (pow c 2) (pow d 2))) |
(/ (* b d) (+ (pow c 2) (pow d 2))) |
(/ (* b d) (+ (pow c 2) (pow d 2))) |
(/ (* b d) (+ (pow c 2) (pow d 2))) |
(/ (* b d) (+ (pow c 2) (pow d 2))) |
(/ (* b d) (pow c 2)) |
(* d (+ (* -1 (/ (* b (pow d 2)) (pow c 4))) (/ b (pow c 2)))) |
(* d (+ (* (pow d 2) (- (/ (* b (pow d 2)) (pow c 6)) (/ b (pow c 4)))) (/ b (pow c 2)))) |
(* d (+ (* (pow d 2) (- (* (pow d 2) (- (* -1 (/ (* b (pow d 2)) (pow c 8))) (* -1 (/ b (pow c 6))))) (/ b (pow c 4)))) (/ b (pow c 2)))) |
(/ b d) |
(/ (+ b (* -1 (/ (* b (pow c 2)) (pow d 2)))) d) |
(/ (- (+ b (/ (* b (pow c 4)) (pow d 4))) (/ (* b (pow c 2)) (pow d 2))) d) |
(/ (- (+ b (* -1 (/ (* b (pow c 6)) (pow d 6)))) (+ (* -1 (/ (* b (pow c 4)) (pow d 4))) (/ (* b (pow c 2)) (pow d 2)))) d) |
(/ b d) |
(* -1 (/ (+ (* -1 b) (/ (* b (pow c 2)) (pow d 2))) d)) |
(* -1 (/ (+ (* -1 b) (+ (* -1 (/ (* b (pow c 4)) (pow d 4))) (/ (* b (pow c 2)) (pow d 2)))) d)) |
(* -1 (/ (+ (* -1 b) (+ (* -1 (/ (* b (pow c 4)) (pow d 4))) (+ (/ (* b (pow c 2)) (pow d 2)) (/ (* b (pow c 6)) (pow d 6))))) d)) |
(/ b d) |
(+ (* -1 (/ (* b (pow c 2)) (pow d 3))) (/ b d)) |
(+ (* (pow c 2) (- (/ (* b (pow c 2)) (pow d 5)) (/ b (pow d 3)))) (/ b d)) |
(+ (* (pow c 2) (- (* (pow c 2) (- (* -1 (/ (* b (pow c 2)) (pow d 7))) (* -1 (/ b (pow d 5))))) (/ b (pow d 3)))) (/ b d)) |
(/ (* b d) (pow c 2)) |
(/ (+ (* -1 (/ (* b (pow d 3)) (pow c 2))) (* b d)) (pow c 2)) |
(/ (- (+ (* b d) (/ (* b (pow d 5)) (pow c 4))) (/ (* b (pow d 3)) (pow c 2))) (pow c 2)) |
(/ (- (+ (* -1 (/ (* b (pow d 7)) (pow c 6))) (* b d)) (+ (* -1 (/ (* b (pow d 5)) (pow c 4))) (/ (* b (pow d 3)) (pow c 2)))) (pow c 2)) |
(/ (* b d) (pow c 2)) |
(/ (+ (* -1 (/ (* b (pow d 3)) (pow c 2))) (* b d)) (pow c 2)) |
(/ (- (+ (* b d) (/ (* b (pow d 5)) (pow c 4))) (/ (* b (pow d 3)) (pow c 2))) (pow c 2)) |
(/ (- (+ (* -1 (/ (* b (pow d 7)) (pow c 6))) (* b d)) (+ (* -1 (/ (* b (pow d 5)) (pow c 4))) (/ (* b (pow d 3)) (pow c 2)))) (pow c 2)) |
(* b d) |
(* b d) |
(* b d) |
(* b d) |
(* b d) |
(* b d) |
(* b d) |
(* b d) |
(* b d) |
(* b d) |
(* b d) |
(* b d) |
(* b d) |
(* b d) |
(* b d) |
(* b d) |
(* b d) |
(* b d) |
(* b d) |
(* b d) |
(* b d) |
(* b d) |
(* b d) |
(* b d) |
(pow c 2) |
(+ (pow c 2) (pow d 2)) |
(+ (pow c 2) (pow d 2)) |
(+ (pow c 2) (pow d 2)) |
(pow d 2) |
(* (pow d 2) (+ 1 (/ (pow c 2) (pow d 2)))) |
(* (pow d 2) (+ 1 (/ (pow c 2) (pow d 2)))) |
(* (pow d 2) (+ 1 (/ (pow c 2) (pow d 2)))) |
(pow d 2) |
(* (pow d 2) (+ 1 (/ (pow c 2) (pow d 2)))) |
(* (pow d 2) (+ 1 (/ (pow c 2) (pow d 2)))) |
(* (pow d 2) (+ 1 (/ (pow c 2) (pow d 2)))) |
(pow d 2) |
(+ (pow c 2) (pow d 2)) |
(+ (pow c 2) (pow d 2)) |
(+ (pow c 2) (pow d 2)) |
(pow c 2) |
(* (pow c 2) (+ 1 (/ (pow d 2) (pow c 2)))) |
(* (pow c 2) (+ 1 (/ (pow d 2) (pow c 2)))) |
(* (pow c 2) (+ 1 (/ (pow d 2) (pow c 2)))) |
(pow c 2) |
(* (pow c 2) (+ 1 (/ (pow d 2) (pow c 2)))) |
(* (pow c 2) (+ 1 (/ (pow d 2) (pow c 2)))) |
(* (pow c 2) (+ 1 (/ (pow d 2) (pow c 2)))) |
(pow c 2) |
(pow c 2) |
(pow c 2) |
(pow c 2) |
(pow c 2) |
(pow c 2) |
(pow c 2) |
(pow c 2) |
(pow c 2) |
(pow c 2) |
(pow c 2) |
(pow c 2) |
(/ a c) |
(+ (/ a c) (/ (* b d) (pow c 2))) |
(+ (/ a c) (/ (* b d) (pow c 2))) |
(+ (/ a c) (/ (* b d) (pow c 2))) |
(/ (* b d) (pow c 2)) |
(* b (+ (/ a (* b c)) (/ d (pow c 2)))) |
(* b (+ (/ a (* b c)) (/ d (pow c 2)))) |
(* b (+ (/ a (* b c)) (/ d (pow c 2)))) |
(/ (* b d) (pow c 2)) |
(* -1 (* b (+ (* -1 (/ a (* b c))) (* -1 (/ d (pow c 2)))))) |
(* -1 (* b (+ (* -1 (/ a (* b c))) (* -1 (/ d (pow c 2)))))) |
(* -1 (* b (+ (* -1 (/ a (* b c))) (* -1 (/ d (pow c 2)))))) |
(/ a c) |
(+ (/ a c) (/ (* b d) (pow c 2))) |
(+ (/ a c) (/ (* b d) (pow c 2))) |
(+ (/ a c) (/ (* b d) (pow c 2))) |
(/ (* b d) (pow c 2)) |
(* d (+ (/ a (* c d)) (/ b (pow c 2)))) |
(* d (+ (/ a (* c d)) (/ b (pow c 2)))) |
(* d (+ (/ a (* c d)) (/ b (pow c 2)))) |
(/ (* b d) (pow c 2)) |
(* -1 (* d (+ (* -1 (/ a (* c d))) (* -1 (/ b (pow c 2)))))) |
(* -1 (* d (+ (* -1 (/ a (* c d))) (* -1 (/ b (pow c 2)))))) |
(* -1 (* d (+ (* -1 (/ a (* c d))) (* -1 (/ b (pow c 2)))))) |
(/ (* b d) (pow c 2)) |
(/ (+ (* a c) (* b d)) (pow c 2)) |
(/ (+ (* a c) (* b d)) (pow c 2)) |
(/ (+ (* a c) (* b d)) (pow c 2)) |
(/ a c) |
(/ (+ a (/ (* b d) c)) c) |
(/ (+ a (/ (* b d) c)) c) |
(/ (+ a (/ (* b d) c)) c) |
(/ a c) |
(* -1 (/ (+ (* -1 a) (* -1 (/ (* b d) c))) c)) |
(* -1 (/ (+ (* -1 a) (* -1 (/ (* b d) c))) c)) |
(* -1 (/ (+ (* -1 a) (* -1 (/ (* b d) c))) c)) |
(/ (* b d) (pow c 2)) |
(+ (/ a c) (/ (* b d) (pow c 2))) |
(+ (/ a c) (/ (* b d) (pow c 2))) |
(+ (/ a c) (/ (* b d) (pow c 2))) |
(/ a c) |
(* a (+ (/ 1 c) (/ (* b d) (* a (pow c 2))))) |
(* a (+ (/ 1 c) (/ (* b d) (* a (pow c 2))))) |
(* a (+ (/ 1 c) (/ (* b d) (* a (pow c 2))))) |
(/ a c) |
(* -1 (* a (- (* -1 (/ (* b d) (* a (pow c 2)))) (/ 1 c)))) |
(* -1 (* a (- (* -1 (/ (* b d) (* a (pow c 2)))) (/ 1 c)))) |
(* -1 (* a (- (* -1 (/ (* b d) (* a (pow c 2)))) (/ 1 c)))) |
(/ d (pow c 2)) |
(/ d (pow c 2)) |
(/ d (pow c 2)) |
(/ d (pow c 2)) |
(/ d (pow c 2)) |
(/ d (pow c 2)) |
(/ d (pow c 2)) |
(/ d (pow c 2)) |
(/ d (pow c 2)) |
(/ d (pow c 2)) |
(/ d (pow c 2)) |
(/ d (pow c 2)) |
(/ d (pow c 2)) |
(/ d (pow c 2)) |
(/ d (pow c 2)) |
(/ d (pow c 2)) |
(/ d (pow c 2)) |
(/ d (pow c 2)) |
(/ d (pow c 2)) |
(/ d (pow c 2)) |
(/ d (pow c 2)) |
(/ d (pow c 2)) |
(/ d (pow c 2)) |
(/ d (pow c 2)) |
(/ a (pow d 2)) |
(+ (* -1 (/ (* b c) (pow d 3))) (/ a (pow d 2))) |
(+ (* -1 (/ (* b c) (pow d 3))) (/ a (pow d 2))) |
(+ (* -1 (/ (* b c) (pow d 3))) (/ a (pow d 2))) |
(* -1 (/ (* b c) (pow d 3))) |
(* c (+ (* -1 (/ b (pow d 3))) (/ a (* c (pow d 2))))) |
(* c (+ (* -1 (/ b (pow d 3))) (/ a (* c (pow d 2))))) |
(* c (+ (* -1 (/ b (pow d 3))) (/ a (* c (pow d 2))))) |
(* -1 (/ (* b c) (pow d 3))) |
(* -1 (* c (+ (* -1 (/ a (* c (pow d 2)))) (/ b (pow d 3))))) |
(* -1 (* c (+ (* -1 (/ a (* c (pow d 2)))) (/ b (pow d 3))))) |
(* -1 (* c (+ (* -1 (/ a (* c (pow d 2)))) (/ b (pow d 3))))) |
(/ a (pow d 2)) |
(+ (* -1 (/ (* b c) (pow d 3))) (/ a (pow d 2))) |
(+ (* -1 (/ (* b c) (pow d 3))) (/ a (pow d 2))) |
(+ (* -1 (/ (* b c) (pow d 3))) (/ a (pow d 2))) |
(* -1 (/ (* b c) (pow d 3))) |
(* b (+ (* -1 (/ c (pow d 3))) (/ a (* b (pow d 2))))) |
(* b (+ (* -1 (/ c (pow d 3))) (/ a (* b (pow d 2))))) |
(* b (+ (* -1 (/ c (pow d 3))) (/ a (* b (pow d 2))))) |
(* -1 (/ (* b c) (pow d 3))) |
(* -1 (* b (+ (* -1 (/ a (* b (pow d 2)))) (/ c (pow d 3))))) |
(* -1 (* b (+ (* -1 (/ a (* b (pow d 2)))) (/ c (pow d 3))))) |
(* -1 (* b (+ (* -1 (/ a (* b (pow d 2)))) (/ c (pow d 3))))) |
(* -1 (/ (* b c) (pow d 3))) |
(/ (+ (* -1 (* b c)) (* a d)) (pow d 3)) |
(/ (+ (* -1 (* b c)) (* a d)) (pow d 3)) |
(/ (+ (* -1 (* b c)) (* a d)) (pow d 3)) |
(/ a (pow d 2)) |
(/ (+ a (* -1 (/ (* b c) d))) (pow d 2)) |
(/ (+ a (* -1 (/ (* b c) d))) (pow d 2)) |
(/ (+ a (* -1 (/ (* b c) d))) (pow d 2)) |
(/ a (pow d 2)) |
(/ (+ a (* -1 (/ (* b c) d))) (pow d 2)) |
(/ (+ a (* -1 (/ (* b c) d))) (pow d 2)) |
(/ (+ a (* -1 (/ (* b c) d))) (pow d 2)) |
(* -1 (/ (* b c) (pow d 3))) |
(+ (* -1 (/ (* b c) (pow d 3))) (/ a (pow d 2))) |
(+ (* -1 (/ (* b c) (pow d 3))) (/ a (pow d 2))) |
(+ (* -1 (/ (* b c) (pow d 3))) (/ a (pow d 2))) |
(/ a (pow d 2)) |
(* a (+ (* -1 (/ (* b c) (* a (pow d 3)))) (/ 1 (pow d 2)))) |
(* a (+ (* -1 (/ (* b c) (* a (pow d 3)))) (/ 1 (pow d 2)))) |
(* a (+ (* -1 (/ (* b c) (* a (pow d 3)))) (/ 1 (pow d 2)))) |
(/ a (pow d 2)) |
(* -1 (* a (- (/ (* b c) (* a (pow d 3))) (/ 1 (pow d 2))))) |
(* -1 (* a (- (/ (* b c) (* a (pow d 3))) (/ 1 (pow d 2))))) |
(* -1 (* a (- (/ (* b c) (* a (pow d 3))) (/ 1 (pow d 2))))) |
(/ b d) |
(+ (/ b d) (/ (* a c) (pow d 2))) |
(+ (* c (+ (* -1 (/ (* b c) (pow d 3))) (/ a (pow d 2)))) (/ b d)) |
(+ (* c (+ (* -1 (/ (* b c) (pow d 3))) (/ a (pow d 2)))) (/ b d)) |
(* -1 (/ (* b (pow c 2)) (pow d 3))) |
(* (pow c 2) (+ (* -1 (/ b (pow d 3))) (/ a (* c (pow d 2))))) |
(* (pow c 2) (+ (* -1 (/ b (pow d 3))) (+ (/ a (* c (pow d 2))) (/ b (* (pow c 2) d))))) |
(* (pow c 2) (+ (* -1 (/ b (pow d 3))) (+ (/ a (* c (pow d 2))) (/ b (* (pow c 2) d))))) |
(* -1 (/ (* b (pow c 2)) (pow d 3))) |
(* (pow c 2) (+ (* -1 (/ b (pow d 3))) (/ a (* c (pow d 2))))) |
(* (pow c 2) (+ (* -1 (/ b (pow d 3))) (* -1 (/ (+ (* -1 (/ a (pow d 2))) (* -1 (/ b (* c d)))) c)))) |
(* (pow c 2) (+ (* -1 (/ b (pow d 3))) (* -1 (/ (+ (* -1 (/ a (pow d 2))) (* -1 (/ b (* c d)))) c)))) |
(/ (* a c) (pow d 2)) |
(+ (* b (+ (* -1 (/ (pow c 2) (pow d 3))) (/ 1 d))) (/ (* a c) (pow d 2))) |
(+ (* b (+ (* -1 (/ (pow c 2) (pow d 3))) (/ 1 d))) (/ (* a c) (pow d 2))) |
(+ (* b (+ (* -1 (/ (pow c 2) (pow d 3))) (/ 1 d))) (/ (* a c) (pow d 2))) |
(* b (+ (* -1 (/ (pow c 2) (pow d 3))) (/ 1 d))) |
(* b (+ (* -1 (/ (pow c 2) (pow d 3))) (+ (/ 1 d) (/ (* a c) (* b (pow d 2)))))) |
(* b (+ (* -1 (/ (pow c 2) (pow d 3))) (+ (/ 1 d) (/ (* a c) (* b (pow d 2)))))) |
(* b (+ (* -1 (/ (pow c 2) (pow d 3))) (+ (/ 1 d) (/ (* a c) (* b (pow d 2)))))) |
(* -1 (* b (- (/ (pow c 2) (pow d 3)) (/ 1 d)))) |
(* -1 (* b (- (+ (* -1 (/ (* a c) (* b (pow d 2)))) (/ (pow c 2) (pow d 3))) (/ 1 d)))) |
(* -1 (* b (- (+ (* -1 (/ (* a c) (* b (pow d 2)))) (/ (pow c 2) (pow d 3))) (/ 1 d)))) |
(* -1 (* b (- (+ (* -1 (/ (* a c) (* b (pow d 2)))) (/ (pow c 2) (pow d 3))) (/ 1 d)))) |
(* -1 (/ (* b (pow c 2)) (pow d 3))) |
(/ (+ (* -1 (* b (pow c 2))) (* a (* c d))) (pow d 3)) |
(/ (+ (* -1 (* b (pow c 2))) (* d (+ (* a c) (* b d)))) (pow d 3)) |
(/ (+ (* -1 (* b (pow c 2))) (* d (+ (* a c) (* b d)))) (pow d 3)) |
(/ b d) |
(/ (+ b (/ (* a c) d)) d) |
(/ (+ b (+ (* -1 (/ (* b (pow c 2)) (pow d 2))) (/ (* a c) d))) d) |
(/ (+ b (+ (* -1 (/ (* b (pow c 2)) (pow d 2))) (/ (* a c) d))) d) |
(/ b d) |
(* -1 (/ (+ (* -1 b) (* -1 (/ (* a c) d))) d)) |
(* -1 (/ (+ (* -1 b) (* -1 (/ (+ (* -1 (/ (* b (pow c 2)) d)) (* a c)) d))) d)) |
(* -1 (/ (+ (* -1 b) (* -1 (/ (+ (* -1 (/ (* b (pow c 2)) d)) (* a c)) d))) d)) |
(+ (* -1 (/ (* b (pow c 2)) (pow d 3))) (/ b d)) |
(+ (* -1 (/ (* b (pow c 2)) (pow d 3))) (+ (/ b d) (/ (* a c) (pow d 2)))) |
(+ (* -1 (/ (* b (pow c 2)) (pow d 3))) (+ (/ b d) (/ (* a c) (pow d 2)))) |
(+ (* -1 (/ (* b (pow c 2)) (pow d 3))) (+ (/ b d) (/ (* a c) (pow d 2)))) |
(/ (* a c) (pow d 2)) |
(* a (+ (* -1 (/ (* b (pow c 2)) (* a (pow d 3)))) (+ (/ b (* a d)) (/ c (pow d 2))))) |
(* a (+ (* -1 (/ (* b (pow c 2)) (* a (pow d 3)))) (+ (/ b (* a d)) (/ c (pow d 2))))) |
(* a (+ (* -1 (/ (* b (pow c 2)) (* a (pow d 3)))) (+ (/ b (* a d)) (/ c (pow d 2))))) |
(/ (* a c) (pow d 2)) |
(* -1 (* a (+ (* -1 (/ c (pow d 2))) (* -1 (/ (+ (* -1 (/ (* b (pow c 2)) (pow d 3))) (/ b d)) a))))) |
(* -1 (* a (+ (* -1 (/ c (pow d 2))) (* -1 (/ (+ (* -1 (/ (* b (pow c 2)) (pow d 3))) (/ b d)) a))))) |
(* -1 (* a (+ (* -1 (/ c (pow d 2))) (* -1 (/ (+ (* -1 (/ (* b (pow c 2)) (pow d 3))) (/ b d)) a))))) |
(* -1 c) |
(* -1 c) |
(* -1 c) |
(* -1 c) |
(* -1 c) |
(* -1 c) |
(* -1 c) |
(* -1 c) |
(* -1 c) |
(* -1 c) |
(* -1 c) |
(* -1 c) |
(/ b (pow d 3)) |
(/ b (pow d 3)) |
(/ b (pow d 3)) |
(/ b (pow d 3)) |
(/ b (pow d 3)) |
(/ b (pow d 3)) |
(/ b (pow d 3)) |
(/ b (pow d 3)) |
(/ b (pow d 3)) |
(/ b (pow d 3)) |
(/ b (pow d 3)) |
(/ b (pow d 3)) |
(/ b (pow d 3)) |
(/ b (pow d 3)) |
(/ b (pow d 3)) |
(/ b (pow d 3)) |
(/ b (pow d 3)) |
(/ b (pow d 3)) |
(/ b (pow d 3)) |
(/ b (pow d 3)) |
(/ b (pow d 3)) |
(/ b (pow d 3)) |
(/ b (pow d 3)) |
(/ b (pow d 3)) |
(* b d) |
(+ (* a c) (* b d)) |
(+ (* a c) (* b d)) |
(+ (* a c) (* b d)) |
(* a c) |
(* a (+ c (/ (* b d) a))) |
(* a (+ c (/ (* b d) a))) |
(* a (+ c (/ (* b d) a))) |
(* a c) |
(* -1 (* a (+ (* -1 c) (* -1 (/ (* b d) a))))) |
(* -1 (* a (+ (* -1 c) (* -1 (/ (* b d) a))))) |
(* -1 (* a (+ (* -1 c) (* -1 (/ (* b d) a))))) |
(* b d) |
(+ (* a c) (* b d)) |
(+ (* a c) (* b d)) |
(+ (* a c) (* b d)) |
(* a c) |
(* c (+ a (/ (* b d) c))) |
(* c (+ a (/ (* b d) c))) |
(* c (+ a (/ (* b d) c))) |
(* a c) |
(* -1 (* c (+ (* -1 a) (* -1 (/ (* b d) c))))) |
(* -1 (* c (+ (* -1 a) (* -1 (/ (* b d) c))))) |
(* -1 (* c (+ (* -1 a) (* -1 (/ (* b d) c))))) |
(* a c) |
(+ (* a c) (* b d)) |
(+ (* a c) (* b d)) |
(+ (* a c) (* b d)) |
(* b d) |
(* b (+ d (/ (* a c) b))) |
(* b (+ d (/ (* a c) b))) |
(* b (+ d (/ (* a c) b))) |
(* b d) |
(* -1 (* b (+ (* -1 d) (* -1 (/ (* a c) b))))) |
(* -1 (* b (+ (* -1 d) (* -1 (/ (* a c) b))))) |
(* -1 (* b (+ (* -1 d) (* -1 (/ (* a c) b))))) |
(* a c) |
(+ (* a c) (* b d)) |
(+ (* a c) (* b d)) |
(+ (* a c) (* b d)) |
(* b d) |
(* d (+ b (/ (* a c) d))) |
(* d (+ b (/ (* a c) d))) |
(* d (+ b (/ (* a c) d))) |
(* b d) |
(* -1 (* d (+ (* -1 b) (* -1 (/ (* a c) d))))) |
(* -1 (* d (+ (* -1 b) (* -1 (/ (* a c) d))))) |
(* -1 (* d (+ (* -1 b) (* -1 (/ (* a c) d))))) |
(/ a (pow d 2)) |
(/ a (pow d 2)) |
(/ a (pow d 2)) |
(/ a (pow d 2)) |
(/ a (pow d 2)) |
(/ a (pow d 2)) |
(/ a (pow d 2)) |
(/ a (pow d 2)) |
(/ a (pow d 2)) |
(/ a (pow d 2)) |
(/ a (pow d 2)) |
(/ a (pow d 2)) |
(/ a (pow d 2)) |
(/ a (pow d 2)) |
(/ a (pow d 2)) |
(/ a (pow d 2)) |
(/ a (pow d 2)) |
(/ a (pow d 2)) |
(/ a (pow d 2)) |
(/ a (pow d 2)) |
(/ a (pow d 2)) |
(/ a (pow d 2)) |
(/ a (pow d 2)) |
(/ a (pow d 2)) |
| Outputs |
|---|
(/ b d) |
(/.f64 b d) |
(+ (/ b d) (/ (* a c) (pow d 2))) |
(fma.f64 c (/.f64 a (*.f64 d d)) (/.f64 b d)) |
(+ (* c (+ (* -1 (/ (* b c) (pow d 3))) (/ a (pow d 2)))) (/ b d)) |
(fma.f64 c (-.f64 (/.f64 a (*.f64 d d)) (/.f64 (*.f64 b c) (*.f64 d (*.f64 d d)))) (/.f64 b d)) |
(+ (* c (+ (* c (- (* -1 (/ (* a c) (pow d 4))) (/ b (pow d 3)))) (/ a (pow d 2)))) (/ b d)) |
(fma.f64 c (fma.f64 c (neg.f64 (fma.f64 a (/.f64 c (*.f64 d (*.f64 d (*.f64 d d)))) (/.f64 b (*.f64 d (*.f64 d d))))) (/.f64 a (*.f64 d d))) (/.f64 b d)) |
(/ a c) |
(/.f64 a c) |
(/ (+ a (/ (* b d) c)) c) |
(/.f64 (fma.f64 b (/.f64 d c) a) c) |
(/ (+ a (+ (* -1 (/ (* a (pow d 2)) (pow c 2))) (/ (* b d) c))) c) |
(/.f64 (fma.f64 b (/.f64 d c) (fma.f64 (neg.f64 a) (*.f64 d (/.f64 d (*.f64 c c))) a)) c) |
(/ (- (+ a (+ (* -1 (/ (* b (pow d 3)) (pow c 3))) (/ (* b d) c))) (/ (* a (pow d 2)) (pow c 2))) c) |
(/.f64 (-.f64 (fma.f64 (neg.f64 b) (/.f64 (*.f64 d (*.f64 d d)) (*.f64 c (*.f64 c c))) (fma.f64 b (/.f64 d c) a)) (*.f64 a (*.f64 d (/.f64 d (*.f64 c c))))) c) |
(/ a c) |
(/.f64 a c) |
(* -1 (/ (+ (* -1 a) (* -1 (/ (* b d) c))) c)) |
(neg.f64 (/.f64 (neg.f64 (fma.f64 b (/.f64 d c) a)) c)) |
(* -1 (/ (+ (* -1 a) (* -1 (/ (+ (* -1 (/ (* a (pow d 2)) c)) (* b d)) c))) c)) |
(/.f64 (-.f64 (neg.f64 a) (/.f64 (-.f64 (*.f64 b d) (/.f64 (*.f64 d (*.f64 d a)) c)) c)) (neg.f64 c)) |
(* -1 (/ (+ (* -1 a) (* -1 (/ (+ (* -1 (/ (- (/ (* b (pow d 3)) c) (* -1 (* a (pow d 2)))) c)) (* b d)) c))) c)) |
(/.f64 (-.f64 (neg.f64 a) (/.f64 (-.f64 (*.f64 b d) (/.f64 (fma.f64 b (*.f64 d (/.f64 (*.f64 d d) c)) (*.f64 d (*.f64 d a))) c)) c)) (neg.f64 c)) |
(/ a c) |
(/.f64 a c) |
(+ (/ a c) (/ (* b d) (pow c 2))) |
(fma.f64 b (/.f64 d (*.f64 c c)) (/.f64 a c)) |
(+ (* d (+ (* -1 (/ (* a d) (pow c 3))) (/ b (pow c 2)))) (/ a c)) |
(fma.f64 d (-.f64 (/.f64 b (*.f64 c c)) (*.f64 a (/.f64 d (*.f64 c (*.f64 c c))))) (/.f64 a c)) |
(+ (* d (+ (* d (- (* -1 (/ (* b d) (pow c 4))) (/ a (pow c 3)))) (/ b (pow c 2)))) (/ a c)) |
(fma.f64 d (fma.f64 d (neg.f64 (fma.f64 b (/.f64 d (*.f64 c (*.f64 c (*.f64 c c)))) (/.f64 a (*.f64 c (*.f64 c c))))) (/.f64 b (*.f64 c c))) (/.f64 a c)) |
(/ b d) |
(/.f64 b d) |
(/ (+ b (/ (* a c) d)) d) |
(/.f64 (fma.f64 a (/.f64 c d) b) d) |
(/ (+ b (+ (* -1 (/ (* b (pow c 2)) (pow d 2))) (/ (* a c) d))) d) |
(/.f64 (fma.f64 (neg.f64 b) (/.f64 (*.f64 c c) (*.f64 d d)) (fma.f64 a (/.f64 c d) b)) d) |
(/ (- (+ b (+ (* -1 (/ (* a (pow c 3)) (pow d 3))) (/ (* a c) d))) (/ (* b (pow c 2)) (pow d 2))) d) |
(/.f64 (-.f64 (fma.f64 a (/.f64 c d) (fma.f64 (neg.f64 a) (/.f64 (*.f64 c (*.f64 c c)) (*.f64 d (*.f64 d d))) b)) (/.f64 (*.f64 b (*.f64 c c)) (*.f64 d d))) d) |
(/ b d) |
(/.f64 b d) |
(* -1 (/ (+ (* -1 b) (* -1 (/ (* a c) d))) d)) |
(/.f64 (neg.f64 (fma.f64 a (/.f64 c d) b)) (neg.f64 d)) |
(* -1 (/ (+ (* -1 b) (* -1 (/ (+ (* -1 (/ (* b (pow c 2)) d)) (* a c)) d))) d)) |
(/.f64 (-.f64 (neg.f64 b) (/.f64 (-.f64 (*.f64 a c) (/.f64 (*.f64 b (*.f64 c c)) d)) d)) (neg.f64 d)) |
(* -1 (/ (+ (* -1 b) (* -1 (/ (+ (* -1 (/ (- (/ (* a (pow c 3)) d) (* -1 (* b (pow c 2)))) d)) (* a c)) d))) d)) |
(/.f64 (-.f64 (neg.f64 b) (/.f64 (fma.f64 a c (/.f64 (fma.f64 (*.f64 c (*.f64 c c)) (/.f64 a d) (*.f64 b (*.f64 c c))) (neg.f64 d))) d)) (neg.f64 d)) |
(/ (* b d) (+ (pow c 2) (pow d 2))) |
(*.f64 b (/.f64 d (fma.f64 d d (*.f64 c c)))) |
(+ (/ (* a c) (+ (pow c 2) (pow d 2))) (/ (* b d) (+ (pow c 2) (pow d 2)))) |
(fma.f64 a (/.f64 c (fma.f64 d d (*.f64 c c))) (*.f64 b (/.f64 d (fma.f64 d d (*.f64 c c))))) |
(+ (/ (* a c) (+ (pow c 2) (pow d 2))) (/ (* b d) (+ (pow c 2) (pow d 2)))) |
(fma.f64 a (/.f64 c (fma.f64 d d (*.f64 c c))) (*.f64 b (/.f64 d (fma.f64 d d (*.f64 c c))))) |
(+ (/ (* a c) (+ (pow c 2) (pow d 2))) (/ (* b d) (+ (pow c 2) (pow d 2)))) |
(fma.f64 a (/.f64 c (fma.f64 d d (*.f64 c c))) (*.f64 b (/.f64 d (fma.f64 d d (*.f64 c c))))) |
(/ (* a c) (+ (pow c 2) (pow d 2))) |
(/.f64 (*.f64 a c) (fma.f64 d d (*.f64 c c))) |
(* a (+ (/ c (+ (pow c 2) (pow d 2))) (/ (* b d) (* a (+ (pow c 2) (pow d 2)))))) |
(*.f64 a (fma.f64 d (/.f64 b (*.f64 a (fma.f64 d d (*.f64 c c)))) (/.f64 c (fma.f64 d d (*.f64 c c))))) |
(* a (+ (/ c (+ (pow c 2) (pow d 2))) (/ (* b d) (* a (+ (pow c 2) (pow d 2)))))) |
(*.f64 a (fma.f64 d (/.f64 b (*.f64 a (fma.f64 d d (*.f64 c c)))) (/.f64 c (fma.f64 d d (*.f64 c c))))) |
(* a (+ (/ c (+ (pow c 2) (pow d 2))) (/ (* b d) (* a (+ (pow c 2) (pow d 2)))))) |
(*.f64 a (fma.f64 d (/.f64 b (*.f64 a (fma.f64 d d (*.f64 c c)))) (/.f64 c (fma.f64 d d (*.f64 c c))))) |
(/ (* a c) (+ (pow c 2) (pow d 2))) |
(/.f64 (*.f64 a c) (fma.f64 d d (*.f64 c c))) |
(* -1 (* a (+ (* -1 (/ c (+ (pow c 2) (pow d 2)))) (* -1 (/ (* b d) (* a (+ (pow c 2) (pow d 2)))))))) |
(neg.f64 (*.f64 (neg.f64 a) (fma.f64 d (/.f64 b (*.f64 a (fma.f64 d d (*.f64 c c)))) (/.f64 c (fma.f64 d d (*.f64 c c)))))) |
(* -1 (* a (+ (* -1 (/ c (+ (pow c 2) (pow d 2)))) (* -1 (/ (* b d) (* a (+ (pow c 2) (pow d 2)))))))) |
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(/.f64 (fma.f64 b (*.f64 (neg.f64 c) c) (*.f64 d (fma.f64 b d (*.f64 a c)))) (*.f64 d (*.f64 d d))) |
(/ b d) |
(/.f64 b d) |
(/ (+ b (/ (* a c) d)) d) |
(/.f64 (fma.f64 a (/.f64 c d) b) d) |
(/ (+ b (+ (* -1 (/ (* b (pow c 2)) (pow d 2))) (/ (* a c) d))) d) |
(/.f64 (fma.f64 (neg.f64 b) (/.f64 (*.f64 c c) (*.f64 d d)) (fma.f64 a (/.f64 c d) b)) d) |
(/ (+ b (+ (* -1 (/ (* b (pow c 2)) (pow d 2))) (/ (* a c) d))) d) |
(/.f64 (fma.f64 (neg.f64 b) (/.f64 (*.f64 c c) (*.f64 d d)) (fma.f64 a (/.f64 c d) b)) d) |
(/ b d) |
(/.f64 b d) |
(* -1 (/ (+ (* -1 b) (* -1 (/ (* a c) d))) d)) |
(/.f64 (neg.f64 (fma.f64 a (/.f64 c d) b)) (neg.f64 d)) |
(* -1 (/ (+ (* -1 b) (* -1 (/ (+ (* -1 (/ (* b (pow c 2)) d)) (* a c)) d))) d)) |
(/.f64 (-.f64 (neg.f64 b) (/.f64 (-.f64 (*.f64 a c) (/.f64 (*.f64 b (*.f64 c c)) d)) d)) (neg.f64 d)) |
(* -1 (/ (+ (* -1 b) (* -1 (/ (+ (* -1 (/ (* b (pow c 2)) d)) (* a c)) d))) d)) |
(/.f64 (-.f64 (neg.f64 b) (/.f64 (-.f64 (*.f64 a c) (/.f64 (*.f64 b (*.f64 c c)) d)) d)) (neg.f64 d)) |
(+ (* -1 (/ (* b (pow c 2)) (pow d 3))) (/ b d)) |
(-.f64 (/.f64 b d) (/.f64 (*.f64 b (*.f64 c c)) (*.f64 d (*.f64 d d)))) |
(+ (* -1 (/ (* b (pow c 2)) (pow d 3))) (+ (/ b d) (/ (* a c) (pow d 2)))) |
(fma.f64 c (-.f64 (/.f64 a (*.f64 d d)) (/.f64 (*.f64 b c) (*.f64 d (*.f64 d d)))) (/.f64 b d)) |
(+ (* -1 (/ (* b (pow c 2)) (pow d 3))) (+ (/ b d) (/ (* a c) (pow d 2)))) |
(fma.f64 c (-.f64 (/.f64 a (*.f64 d d)) (/.f64 (*.f64 b c) (*.f64 d (*.f64 d d)))) (/.f64 b d)) |
(+ (* -1 (/ (* b (pow c 2)) (pow d 3))) (+ (/ b d) (/ (* a c) (pow d 2)))) |
(fma.f64 c (-.f64 (/.f64 a (*.f64 d d)) (/.f64 (*.f64 b c) (*.f64 d (*.f64 d d)))) (/.f64 b d)) |
(/ (* a c) (pow d 2)) |
(/.f64 (*.f64 a c) (*.f64 d d)) |
(* a (+ (* -1 (/ (* b (pow c 2)) (* a (pow d 3)))) (+ (/ b (* a d)) (/ c (pow d 2))))) |
(*.f64 a (+.f64 (fma.f64 (neg.f64 b) (/.f64 (*.f64 c c) (*.f64 d (*.f64 d (*.f64 d a)))) (/.f64 b (*.f64 d a))) (/.f64 c (*.f64 d d)))) |
(* a (+ (* -1 (/ (* b (pow c 2)) (* a (pow d 3)))) (+ (/ b (* a d)) (/ c (pow d 2))))) |
(*.f64 a (+.f64 (fma.f64 (neg.f64 b) (/.f64 (*.f64 c c) (*.f64 d (*.f64 d (*.f64 d a)))) (/.f64 b (*.f64 d a))) (/.f64 c (*.f64 d d)))) |
(* a (+ (* -1 (/ (* b (pow c 2)) (* a (pow d 3)))) (+ (/ b (* a d)) (/ c (pow d 2))))) |
(*.f64 a (+.f64 (fma.f64 (neg.f64 b) (/.f64 (*.f64 c c) (*.f64 d (*.f64 d (*.f64 d a)))) (/.f64 b (*.f64 d a))) (/.f64 c (*.f64 d d)))) |
(/ (* a c) (pow d 2)) |
(/.f64 (*.f64 a c) (*.f64 d d)) |
(* -1 (* a (+ (* -1 (/ c (pow d 2))) (* -1 (/ (+ (* -1 (/ (* b (pow c 2)) (pow d 3))) (/ b d)) a))))) |
(neg.f64 (*.f64 a (-.f64 (/.f64 c (*.f64 (neg.f64 d) d)) (/.f64 (-.f64 (/.f64 b d) (/.f64 (*.f64 b (*.f64 c c)) (*.f64 d (*.f64 d d)))) a)))) |
(* -1 (* a (+ (* -1 (/ c (pow d 2))) (* -1 (/ (+ (* -1 (/ (* b (pow c 2)) (pow d 3))) (/ b d)) a))))) |
(neg.f64 (*.f64 a (-.f64 (/.f64 c (*.f64 (neg.f64 d) d)) (/.f64 (-.f64 (/.f64 b d) (/.f64 (*.f64 b (*.f64 c c)) (*.f64 d (*.f64 d d)))) a)))) |
(* -1 (* a (+ (* -1 (/ c (pow d 2))) (* -1 (/ (+ (* -1 (/ (* b (pow c 2)) (pow d 3))) (/ b d)) a))))) |
(neg.f64 (*.f64 a (-.f64 (/.f64 c (*.f64 (neg.f64 d) d)) (/.f64 (-.f64 (/.f64 b d) (/.f64 (*.f64 b (*.f64 c c)) (*.f64 d (*.f64 d d)))) a)))) |
(* -1 c) |
(neg.f64 c) |
(* -1 c) |
(neg.f64 c) |
(* -1 c) |
(neg.f64 c) |
(* -1 c) |
(neg.f64 c) |
(* -1 c) |
(neg.f64 c) |
(* -1 c) |
(neg.f64 c) |
(* -1 c) |
(neg.f64 c) |
(* -1 c) |
(neg.f64 c) |
(* -1 c) |
(neg.f64 c) |
(* -1 c) |
(neg.f64 c) |
(* -1 c) |
(neg.f64 c) |
(* -1 c) |
(neg.f64 c) |
(/ b (pow d 3)) |
(/.f64 b (*.f64 d (*.f64 d d))) |
(/ b (pow d 3)) |
(/.f64 b (*.f64 d (*.f64 d d))) |
(/ b (pow d 3)) |
(/.f64 b (*.f64 d (*.f64 d d))) |
(/ b (pow d 3)) |
(/.f64 b (*.f64 d (*.f64 d d))) |
(/ b (pow d 3)) |
(/.f64 b (*.f64 d (*.f64 d d))) |
(/ b (pow d 3)) |
(/.f64 b (*.f64 d (*.f64 d d))) |
(/ b (pow d 3)) |
(/.f64 b (*.f64 d (*.f64 d d))) |
(/ b (pow d 3)) |
(/.f64 b (*.f64 d (*.f64 d d))) |
(/ b (pow d 3)) |
(/.f64 b (*.f64 d (*.f64 d d))) |
(/ b (pow d 3)) |
(/.f64 b (*.f64 d (*.f64 d d))) |
(/ b (pow d 3)) |
(/.f64 b (*.f64 d (*.f64 d d))) |
(/ b (pow d 3)) |
(/.f64 b (*.f64 d (*.f64 d d))) |
(/ b (pow d 3)) |
(/.f64 b (*.f64 d (*.f64 d d))) |
(/ b (pow d 3)) |
(/.f64 b (*.f64 d (*.f64 d d))) |
(/ b (pow d 3)) |
(/.f64 b (*.f64 d (*.f64 d d))) |
(/ b (pow d 3)) |
(/.f64 b (*.f64 d (*.f64 d d))) |
(/ b (pow d 3)) |
(/.f64 b (*.f64 d (*.f64 d d))) |
(/ b (pow d 3)) |
(/.f64 b (*.f64 d (*.f64 d d))) |
(/ b (pow d 3)) |
(/.f64 b (*.f64 d (*.f64 d d))) |
(/ b (pow d 3)) |
(/.f64 b (*.f64 d (*.f64 d d))) |
(/ b (pow d 3)) |
(/.f64 b (*.f64 d (*.f64 d d))) |
(/ b (pow d 3)) |
(/.f64 b (*.f64 d (*.f64 d d))) |
(/ b (pow d 3)) |
(/.f64 b (*.f64 d (*.f64 d d))) |
(/ b (pow d 3)) |
(/.f64 b (*.f64 d (*.f64 d d))) |
(* b d) |
(*.f64 b d) |
(+ (* a c) (* b d)) |
(fma.f64 b d (*.f64 a c)) |
(+ (* a c) (* b d)) |
(fma.f64 b d (*.f64 a c)) |
(+ (* a c) (* b d)) |
(fma.f64 b d (*.f64 a c)) |
(* a c) |
(*.f64 a c) |
(* a (+ c (/ (* b d) a))) |
(*.f64 a (fma.f64 b (/.f64 d a) c)) |
(* a (+ c (/ (* b d) a))) |
(*.f64 a (fma.f64 b (/.f64 d a) c)) |
(* a (+ c (/ (* b d) a))) |
(*.f64 a (fma.f64 b (/.f64 d a) c)) |
(* a c) |
(*.f64 a c) |
(* -1 (* a (+ (* -1 c) (* -1 (/ (* b d) a))))) |
(neg.f64 (*.f64 (neg.f64 a) (fma.f64 b (/.f64 d a) c))) |
(* -1 (* a (+ (* -1 c) (* -1 (/ (* b d) a))))) |
(neg.f64 (*.f64 (neg.f64 a) (fma.f64 b (/.f64 d a) c))) |
(* -1 (* a (+ (* -1 c) (* -1 (/ (* b d) a))))) |
(neg.f64 (*.f64 (neg.f64 a) (fma.f64 b (/.f64 d a) c))) |
(* b d) |
(*.f64 b d) |
(+ (* a c) (* b d)) |
(fma.f64 b d (*.f64 a c)) |
(+ (* a c) (* b d)) |
(fma.f64 b d (*.f64 a c)) |
(+ (* a c) (* b d)) |
(fma.f64 b d (*.f64 a c)) |
(* a c) |
(*.f64 a c) |
(* c (+ a (/ (* b d) c))) |
(*.f64 c (fma.f64 b (/.f64 d c) a)) |
(* c (+ a (/ (* b d) c))) |
(*.f64 c (fma.f64 b (/.f64 d c) a)) |
(* c (+ a (/ (* b d) c))) |
(*.f64 c (fma.f64 b (/.f64 d c) a)) |
(* a c) |
(*.f64 a c) |
(* -1 (* c (+ (* -1 a) (* -1 (/ (* b d) c))))) |
(*.f64 (neg.f64 (fma.f64 b (/.f64 d c) a)) (neg.f64 c)) |
(* -1 (* c (+ (* -1 a) (* -1 (/ (* b d) c))))) |
(*.f64 (neg.f64 (fma.f64 b (/.f64 d c) a)) (neg.f64 c)) |
(* -1 (* c (+ (* -1 a) (* -1 (/ (* b d) c))))) |
(*.f64 (neg.f64 (fma.f64 b (/.f64 d c) a)) (neg.f64 c)) |
(* a c) |
(*.f64 a c) |
(+ (* a c) (* b d)) |
(fma.f64 b d (*.f64 a c)) |
(+ (* a c) (* b d)) |
(fma.f64 b d (*.f64 a c)) |
(+ (* a c) (* b d)) |
(fma.f64 b d (*.f64 a c)) |
(* b d) |
(*.f64 b d) |
(* b (+ d (/ (* a c) b))) |
(*.f64 b (fma.f64 a (/.f64 c b) d)) |
(* b (+ d (/ (* a c) b))) |
(*.f64 b (fma.f64 a (/.f64 c b) d)) |
(* b (+ d (/ (* a c) b))) |
(*.f64 b (fma.f64 a (/.f64 c b) d)) |
(* b d) |
(*.f64 b d) |
(* -1 (* b (+ (* -1 d) (* -1 (/ (* a c) b))))) |
(neg.f64 (*.f64 b (neg.f64 (fma.f64 a (/.f64 c b) d)))) |
(* -1 (* b (+ (* -1 d) (* -1 (/ (* a c) b))))) |
(neg.f64 (*.f64 b (neg.f64 (fma.f64 a (/.f64 c b) d)))) |
(* -1 (* b (+ (* -1 d) (* -1 (/ (* a c) b))))) |
(neg.f64 (*.f64 b (neg.f64 (fma.f64 a (/.f64 c b) d)))) |
(* a c) |
(*.f64 a c) |
(+ (* a c) (* b d)) |
(fma.f64 b d (*.f64 a c)) |
(+ (* a c) (* b d)) |
(fma.f64 b d (*.f64 a c)) |
(+ (* a c) (* b d)) |
(fma.f64 b d (*.f64 a c)) |
(* b d) |
(*.f64 b d) |
(* d (+ b (/ (* a c) d))) |
(*.f64 d (fma.f64 a (/.f64 c d) b)) |
(* d (+ b (/ (* a c) d))) |
(*.f64 d (fma.f64 a (/.f64 c d) b)) |
(* d (+ b (/ (* a c) d))) |
(*.f64 d (fma.f64 a (/.f64 c d) b)) |
(* b d) |
(*.f64 b d) |
(* -1 (* d (+ (* -1 b) (* -1 (/ (* a c) d))))) |
(*.f64 d (neg.f64 (neg.f64 (fma.f64 a (/.f64 c d) b)))) |
(* -1 (* d (+ (* -1 b) (* -1 (/ (* a c) d))))) |
(*.f64 d (neg.f64 (neg.f64 (fma.f64 a (/.f64 c d) b)))) |
(* -1 (* d (+ (* -1 b) (* -1 (/ (* a c) d))))) |
(*.f64 d (neg.f64 (neg.f64 (fma.f64 a (/.f64 c d) b)))) |
(/ a (pow d 2)) |
(/.f64 a (*.f64 d d)) |
(/ a (pow d 2)) |
(/.f64 a (*.f64 d d)) |
(/ a (pow d 2)) |
(/.f64 a (*.f64 d d)) |
(/ a (pow d 2)) |
(/.f64 a (*.f64 d d)) |
(/ a (pow d 2)) |
(/.f64 a (*.f64 d d)) |
(/ a (pow d 2)) |
(/.f64 a (*.f64 d d)) |
(/ a (pow d 2)) |
(/.f64 a (*.f64 d d)) |
(/ a (pow d 2)) |
(/.f64 a (*.f64 d d)) |
(/ a (pow d 2)) |
(/.f64 a (*.f64 d d)) |
(/ a (pow d 2)) |
(/.f64 a (*.f64 d d)) |
(/ a (pow d 2)) |
(/.f64 a (*.f64 d d)) |
(/ a (pow d 2)) |
(/.f64 a (*.f64 d d)) |
(/ a (pow d 2)) |
(/.f64 a (*.f64 d d)) |
(/ a (pow d 2)) |
(/.f64 a (*.f64 d d)) |
(/ a (pow d 2)) |
(/.f64 a (*.f64 d d)) |
(/ a (pow d 2)) |
(/.f64 a (*.f64 d d)) |
(/ a (pow d 2)) |
(/.f64 a (*.f64 d d)) |
(/ a (pow d 2)) |
(/.f64 a (*.f64 d d)) |
(/ a (pow d 2)) |
(/.f64 a (*.f64 d d)) |
(/ a (pow d 2)) |
(/.f64 a (*.f64 d d)) |
(/ a (pow d 2)) |
(/.f64 a (*.f64 d d)) |
(/ a (pow d 2)) |
(/.f64 a (*.f64 d d)) |
(/ a (pow d 2)) |
(/.f64 a (*.f64 d d)) |
(/ a (pow d 2)) |
(/.f64 a (*.f64 d d)) |
Compiled 35 663 to 2 812 computations (92.1% saved)
24 alts after pruning (22 fresh and 2 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1 403 | 17 | 1 420 |
| Fresh | 3 | 5 | 8 |
| Picked | 3 | 2 | 5 |
| Done | 0 | 0 | 0 |
| Total | 1 409 | 24 | 1 433 |
| Status | Accuracy | Program |
|---|---|---|
| 56.0% | (fma.f64 (/.f64 d c) (/.f64 b c) (/.f64 a c)) | |
| 55.6% | (fma.f64 (/.f64 #s(literal 1 binary64) c) (/.f64 (*.f64 d b) c) (/.f64 a c)) | |
| 41.5% | (fma.f64 c (fma.f64 (/.f64 (/.f64 b d) d) (/.f64 (neg.f64 c) d) (/.f64 a (*.f64 d d))) (/.f64 b d)) | |
| 42.0% | (fma.f64 c (fma.f64 (neg.f64 c) (/.f64 b (*.f64 d (*.f64 d d))) (/.f64 (/.f64 a d) d)) (/.f64 b d)) | |
| 44.7% | (fma.f64 c (/.f64 a (*.f64 d d)) (/.f64 b d)) | |
| ✓ | 49.6% | (fma.f64 b (/.f64 d (*.f64 c c)) (/.f64 a c)) |
| ▶ | 64.7% | (fma.f64 a (/.f64 c (fma.f64 d d (*.f64 c c))) (*.f64 b (/.f64 d (fma.f64 d d (*.f64 c c))))) |
| ▶ | 56.7% | (/.f64 (fma.f64 b (/.f64 d c) a) c) |
| 35.5% | (/.f64 (fma.f64 b d (*.f64 a c)) (*.f64 c c)) | |
| 49.0% | (/.f64 (fma.f64 a (/.f64 c d) b) d) | |
| ▶ | 53.6% | (/.f64 (+.f64 a (/.f64 (fma.f64 d (/.f64 (*.f64 d (neg.f64 a)) c) (*.f64 b d)) c)) c) |
| 28.1% | (/.f64 (*.f64 b d) (*.f64 d d)) | |
| 19.1% | (/.f64 (*.f64 b d) (*.f64 c c)) | |
| 40.2% | (/.f64 (*.f64 a c) (fma.f64 d d (*.f64 c c))) | |
| 18.1% | (/.f64 (*.f64 a c) (*.f64 d d)) | |
| ▶ | 39.3% | (/.f64 b d) |
| ✓ | 44.0% | (/.f64 a c) |
| 40.2% | (/.f64 #s(literal 1 binary64) (fma.f64 c (fma.f64 c (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 b d)) (/.f64 (*.f64 a a) (*.f64 b (*.f64 b (*.f64 b d))))) (/.f64 a (*.f64 (neg.f64 b) b))) (/.f64 d b))) | |
| 40.2% | (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 d d (*.f64 c c)) (*.f64 a c))) | |
| ▶ | 39.1% | (/.f64 #s(literal 1 binary64) (/.f64 d b)) |
| 41.2% | (*.f64 (/.f64 d (fma.f64 d d (*.f64 c c))) b) | |
| 43.9% | (*.f64 (/.f64 #s(literal 1 binary64) c) (pow.f64 (/.f64 #s(literal 1 binary64) a) #s(literal -1 binary64))) | |
| 43.9% | (*.f64 (/.f64 #s(literal 1 binary64) c) a) | |
| 13.5% | (*.f64 (*.f64 c c) (-.f64 (/.f64 a (*.f64 d (*.f64 d c))) (/.f64 b (*.f64 d (*.f64 d d))))) |
Compiled 719 to 419 computations (41.7% saved)
| 1× | egg-herbie |
Found 14 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | cost-diff | 0 | (/.f64 (fma.f64 d (/.f64 (*.f64 d (neg.f64 a)) c) (*.f64 b d)) c) |
| ✓ | cost-diff | 0 | (/.f64 (+.f64 a (/.f64 (fma.f64 d (/.f64 (*.f64 d (neg.f64 a)) c) (*.f64 b d)) c)) c) |
| ✓ | cost-diff | 128 | (+.f64 a (/.f64 (fma.f64 d (/.f64 (*.f64 d (neg.f64 a)) c) (*.f64 b d)) c)) |
| ✓ | cost-diff | 320 | (fma.f64 d (/.f64 (*.f64 d (neg.f64 a)) c) (*.f64 b d)) |
| ✓ | cost-diff | 0 | (/.f64 d c) |
| ✓ | cost-diff | 0 | (fma.f64 b (/.f64 d c) a) |
| ✓ | cost-diff | 0 | (/.f64 (fma.f64 b (/.f64 d c) a) c) |
| ✓ | cost-diff | 0 | (/.f64 d b) |
| ✓ | cost-diff | 704 | (/.f64 #s(literal 1 binary64) (/.f64 d b)) |
| ✓ | cost-diff | 0 | (/.f64 b d) |
| ✓ | cost-diff | 0 | (*.f64 c c) |
| ✓ | cost-diff | 0 | (fma.f64 d d (*.f64 c c)) |
| ✓ | cost-diff | 0 | (/.f64 c (fma.f64 d d (*.f64 c c))) |
| ✓ | cost-diff | 0 | (fma.f64 a (/.f64 c (fma.f64 d d (*.f64 c c))) (*.f64 b (/.f64 d (fma.f64 d d (*.f64 c c))))) |
| 5 956× | accelerator-lowering-fma.f32 |
| 5 956× | accelerator-lowering-fma.f64 |
| 2 660× | *-lowering-*.f32 |
| 2 660× | *-lowering-*.f64 |
| 1 358× | div-sub |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 29 | 182 |
| 1 | 57 | 174 |
| 2 | 96 | 170 |
| 3 | 179 | 170 |
| 4 | 322 | 170 |
| 5 | 467 | 170 |
| 6 | 867 | 170 |
| 7 | 1600 | 170 |
| 8 | 2745 | 170 |
| 9 | 3686 | 170 |
| 10 | 4524 | 170 |
| 11 | 4991 | 170 |
| 12 | 5257 | 170 |
| 13 | 5337 | 170 |
| 14 | 5355 | 170 |
| 15 | 5363 | 170 |
| 16 | 5478 | 170 |
| 17 | 5608 | 170 |
| 18 | 5642 | 170 |
| 19 | 5642 | 170 |
| 20 | 6688 | 170 |
| 21 | 7194 | 170 |
| 22 | 7402 | 170 |
| 23 | 7508 | 170 |
| 24 | 7664 | 170 |
| 0 | 8010 | 159 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(+ (* a (/ c (+ (* d d) (* c c)))) (* b (/ d (+ (* d d) (* c c))))) |
a |
(/ c (+ (* d d) (* c c))) |
c |
(+ (* d d) (* c c)) |
d |
(* c c) |
(* b (/ d (+ (* d d) (* c c)))) |
b |
(/ d (+ (* d d) (* c c))) |
(/ b d) |
b |
d |
(/ 1 (/ d b)) |
1 |
(/ d b) |
d |
b |
(/ (+ (* b (/ d c)) a) c) |
(+ (* b (/ d c)) a) |
b |
(/ d c) |
d |
c |
a |
(/ (+ a (/ (+ (* d (/ (* d (neg a)) c)) (* b d)) c)) c) |
(+ a (/ (+ (* d (/ (* d (neg a)) c)) (* b d)) c)) |
a |
(/ (+ (* d (/ (* d (neg a)) c)) (* b d)) c) |
(+ (* d (/ (* d (neg a)) c)) (* b d)) |
d |
(/ (* d (neg a)) c) |
(* d (neg a)) |
(neg a) |
c |
(* b d) |
b |
| Outputs |
|---|
(+ (* a (/ c (+ (* d d) (* c c)))) (* b (/ d (+ (* d d) (* c c))))) |
(fma.f64 a (/.f64 c (fma.f64 c c (*.f64 d d))) (*.f64 d (/.f64 b (fma.f64 c c (*.f64 d d))))) |
a |
(/ c (+ (* d d) (* c c))) |
(/.f64 c (fma.f64 c c (*.f64 d d))) |
c |
(+ (* d d) (* c c)) |
(fma.f64 c c (*.f64 d d)) |
d |
(* c c) |
(*.f64 c c) |
(* b (/ d (+ (* d d) (* c c)))) |
(*.f64 d (/.f64 b (fma.f64 c c (*.f64 d d)))) |
b |
(/ d (+ (* d d) (* c c))) |
(/.f64 d (fma.f64 c c (*.f64 d d))) |
(/ b d) |
(/.f64 b d) |
b |
d |
(/ 1 (/ d b)) |
(/.f64 b d) |
1 |
#s(literal 1 binary64) |
(/ d b) |
(/.f64 d b) |
d |
b |
(/ (+ (* b (/ d c)) a) c) |
(/.f64 (fma.f64 d (/.f64 b c) a) c) |
(+ (* b (/ d c)) a) |
(fma.f64 d (/.f64 b c) a) |
b |
(/ d c) |
(/.f64 d c) |
d |
c |
a |
(/ (+ a (/ (+ (* d (/ (* d (neg a)) c)) (* b d)) c)) c) |
(/.f64 (fma.f64 (/.f64 d c) (fma.f64 (/.f64 d c) (neg.f64 a) b) a) c) |
(+ a (/ (+ (* d (/ (* d (neg a)) c)) (* b d)) c)) |
(fma.f64 (/.f64 d c) (fma.f64 (/.f64 d c) (neg.f64 a) b) a) |
a |
(/ (+ (* d (/ (* d (neg a)) c)) (* b d)) c) |
(*.f64 d (/.f64 (fma.f64 (/.f64 d c) (neg.f64 a) b) c)) |
(+ (* d (/ (* d (neg a)) c)) (* b d)) |
(*.f64 d (fma.f64 (/.f64 d c) (neg.f64 a) b)) |
d |
(/ (* d (neg a)) c) |
(/.f64 (*.f64 a (neg.f64 d)) c) |
(* d (neg a)) |
(*.f64 a (neg.f64 d)) |
(neg a) |
(neg.f64 a) |
c |
(* b d) |
(*.f64 d b) |
b |
Found 14 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | accuracy | 97.8% | (fma.f64 d (/.f64 (*.f64 d (neg.f64 a)) c) (*.f64 b d)) |
| ✓ | accuracy | 97.7% | (/.f64 (+.f64 a (/.f64 (fma.f64 d (/.f64 (*.f64 d (neg.f64 a)) c) (*.f64 b d)) c)) c) |
| ✓ | accuracy | 92.0% | (/.f64 (fma.f64 d (/.f64 (*.f64 d (neg.f64 a)) c) (*.f64 b d)) c) |
| ✓ | accuracy | 89.9% | (/.f64 (*.f64 d (neg.f64 a)) c) |
| ✓ | accuracy | 100.0% | (/.f64 d c) |
| ✓ | accuracy | 98.8% | (/.f64 (fma.f64 b (/.f64 d c) a) c) |
| ✓ | accuracy | 94.7% | (fma.f64 b (/.f64 d c) a) |
| ✓ | accuracy | 100.0% | (/.f64 d b) |
| ✓ | accuracy | 99.5% | (/.f64 #s(literal 1 binary64) (/.f64 d b)) |
| ✓ | accuracy | 100.0% | (/.f64 b d) |
| ✓ | accuracy | 97.6% | (fma.f64 a (/.f64 c (fma.f64 d d (*.f64 c c))) (*.f64 b (/.f64 d (fma.f64 d d (*.f64 c c))))) |
| ✓ | accuracy | 96.0% | (*.f64 b (/.f64 d (fma.f64 d d (*.f64 c c)))) |
| ✓ | accuracy | 74.6% | (/.f64 d (fma.f64 d d (*.f64 c c))) |
| ✓ | accuracy | 68.8% | (/.f64 c (fma.f64 d d (*.f64 c c))) |
| 55.0ms | 256× | 0 | valid |
Compiled 173 to 31 computations (82.1% saved)
ival-div: 20.0ms (52.9% of total)ival-mult: 12.0ms (31.7% of total)ival-add: 5.0ms (13.2% of total)ival-neg: 1.0ms (2.6% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| Inputs |
|---|
#<alt (+ (* a (/ c (+ (* d d) (* c c)))) (* b (/ d (+ (* d d) (* c c)))))> |
#<alt (/ c (+ (* d d) (* c c)))> |
#<alt (+ (* d d) (* c c))> |
#<alt (* c c)> |
#<alt (/ b d)> |
#<alt (/ 1 (/ d b))> |
#<alt (/ d b)> |
#<alt (/ (+ (* b (/ d c)) a) c)> |
#<alt (+ (* b (/ d c)) a)> |
#<alt (/ d c)> |
#<alt (+ (* d (/ (* d (neg a)) c)) (* b d))> |
#<alt (+ a (/ (+ (* d (/ (* d (neg a)) c)) (* b d)) c))> |
#<alt (/ (+ a (/ (+ (* d (/ (* d (neg a)) c)) (* b d)) c)) c)> |
#<alt (/ (+ (* d (/ (* d (neg a)) c)) (* b d)) c)> |
#<alt (/ d (+ (* d d) (* c c)))> |
#<alt (* b (/ d (+ (* d d) (* c c))))> |
#<alt (/ (* d (neg a)) c)> |
| Outputs |
|---|
#<alt (/ (* b d) (+ (pow c 2) (pow d 2)))> |
#<alt (+ (/ (* a c) (+ (pow c 2) (pow d 2))) (/ (* b d) (+ (pow c 2) (pow d 2))))> |
#<alt (+ (/ (* a c) (+ (pow c 2) (pow d 2))) (/ (* b d) (+ (pow c 2) (pow d 2))))> |
#<alt (+ (/ (* a c) (+ (pow c 2) (pow d 2))) (/ (* b d) (+ (pow c 2) (pow d 2))))> |
#<alt (/ (* a c) (+ (pow c 2) (pow d 2)))> |
#<alt (* a (+ (/ c (+ (pow c 2) (pow d 2))) (/ (* b d) (* a (+ (pow c 2) (pow d 2))))))> |
#<alt (* a (+ (/ c (+ (pow c 2) (pow d 2))) (/ (* b d) (* a (+ (pow c 2) (pow d 2))))))> |
#<alt (* a (+ (/ c (+ (pow c 2) (pow d 2))) (/ (* b d) (* a (+ (pow c 2) (pow d 2))))))> |
#<alt (/ (* a c) (+ (pow c 2) (pow d 2)))> |
#<alt (* -1 (* a (+ (* -1 (/ c (+ (pow c 2) (pow d 2)))) (* -1 (/ (* b d) (* a (+ (pow c 2) (pow d 2))))))))> |
#<alt (* -1 (* a (+ (* -1 (/ c (+ (pow c 2) (pow d 2)))) (* -1 (/ (* b d) (* a (+ (pow c 2) (pow d 2))))))))> |
#<alt (* -1 (* a (+ (* -1 (/ c (+ (pow c 2) (pow d 2)))) (* -1 (/ (* b d) (* a (+ (pow c 2) (pow d 2))))))))> |
#<alt (/ b d)> |
#<alt (+ (/ b d) (/ (* a c) (pow d 2)))> |
#<alt (+ (* c (+ (* -1 (/ (* b c) (pow d 3))) (/ a (pow d 2)))) (/ b d))> |
#<alt (+ (* c (+ (* c (- (* -1 (/ (* a c) (pow d 4))) (/ b (pow d 3)))) (/ a (pow d 2)))) (/ b d))> |
#<alt (/ a c)> |
#<alt (/ (+ a (/ (* b d) c)) c)> |
#<alt (/ (+ a (+ (* -1 (/ (* a (pow d 2)) (pow c 2))) (/ (* b d) c))) c)> |
#<alt (/ (- (+ a (+ (* -1 (/ (* b (pow d 3)) (pow c 3))) (/ (* b d) c))) (/ (* a (pow d 2)) (pow c 2))) c)> |
#<alt (/ a c)> |
#<alt (* -1 (/ (+ (* -1 a) (* -1 (/ (* b d) c))) c))> |
#<alt (* -1 (/ (+ (* -1 a) (* -1 (/ (+ (* -1 (/ (* a (pow d 2)) c)) (* b d)) c))) c))> |
#<alt (* -1 (/ (+ (* -1 a) (* -1 (/ (+ (* -1 (/ (+ (* a (pow d 2)) (/ (* b (pow d 3)) c)) c)) (* b d)) c))) c))> |
#<alt (/ a c)> |
#<alt (+ (/ a c) (/ (* b d) (pow c 2)))> |
#<alt (+ (* d (+ (* -1 (/ (* a d) (pow c 3))) (/ b (pow c 2)))) (/ a c))> |
#<alt (+ (* d (+ (* d (- (* -1 (/ (* b d) (pow c 4))) (/ a (pow c 3)))) (/ b (pow c 2)))) (/ a c))> |
#<alt (/ b d)> |
#<alt (/ (+ b (/ (* a c) d)) d)> |
#<alt (/ (+ b (+ (* -1 (/ (* b (pow c 2)) (pow d 2))) (/ (* a c) d))) d)> |
#<alt (/ (- (+ b (+ (* -1 (/ (* a (pow c 3)) (pow d 3))) (/ (* a c) d))) (/ (* b (pow c 2)) (pow d 2))) d)> |
#<alt (/ b d)> |
#<alt (* -1 (/ (+ (* -1 b) (* -1 (/ (* a c) d))) d))> |
#<alt (* -1 (/ (+ (* -1 b) (* -1 (/ (+ (* -1 (/ (* b (pow c 2)) d)) (* a c)) d))) d))> |
#<alt (* -1 (/ (+ (* -1 b) (* -1 (/ (+ (* -1 (/ (+ (* b (pow c 2)) (/ (* a (pow c 3)) d)) d)) (* a c)) d))) d))> |
#<alt (/ (* a c) (+ (pow c 2) (pow d 2)))> |
#<alt (+ (/ (* a c) (+ (pow c 2) (pow d 2))) (/ (* b d) (+ (pow c 2) (pow d 2))))> |
#<alt (+ (/ (* a c) (+ (pow c 2) (pow d 2))) (/ (* b d) (+ (pow c 2) (pow d 2))))> |
#<alt (+ (/ (* a c) (+ (pow c 2) (pow d 2))) (/ (* b d) (+ (pow c 2) (pow d 2))))> |
#<alt (/ (* b d) (+ (pow c 2) (pow d 2)))> |
#<alt (* b (+ (/ d (+ (pow c 2) (pow d 2))) (/ (* a c) (* b (+ (pow c 2) (pow d 2))))))> |
#<alt (* b (+ (/ d (+ (pow c 2) (pow d 2))) (/ (* a c) (* b (+ (pow c 2) (pow d 2))))))> |
#<alt (* b (+ (/ d (+ (pow c 2) (pow d 2))) (/ (* a c) (* b (+ (pow c 2) (pow d 2))))))> |
#<alt (/ (* b d) (+ (pow c 2) (pow d 2)))> |
#<alt (* -1 (* b (+ (* -1 (/ d (+ (pow c 2) (pow d 2)))) (* -1 (/ (* a c) (* b (+ (pow c 2) (pow d 2))))))))> |
#<alt (* -1 (* b (+ (* -1 (/ d (+ (pow c 2) (pow d 2)))) (* -1 (/ (* a c) (* b (+ (pow c 2) (pow d 2))))))))> |
#<alt (* -1 (* b (+ (* -1 (/ d (+ (pow c 2) (pow d 2)))) (* -1 (/ (* a c) (* b (+ (pow c 2) (pow d 2))))))))> |
#<alt (/ c (pow d 2))> |
#<alt (* c (+ (* -1 (/ (pow c 2) (pow d 4))) (/ 1 (pow d 2))))> |
#<alt (* c (+ (* (pow c 2) (- (/ (pow c 2) (pow d 6)) (/ 1 (pow d 4)))) (/ 1 (pow d 2))))> |
#<alt (* c (+ (* (pow c 2) (- (* (pow c 2) (+ (* -1 (/ (pow c 2) (pow d 8))) (/ 1 (pow d 6)))) (/ 1 (pow d 4)))) (/ 1 (pow d 2))))> |
#<alt (/ 1 c)> |
#<alt (/ (+ 1 (* -1 (/ (pow d 2) (pow c 2)))) c)> |
#<alt (/ (- (+ 1 (/ (pow d 4) (pow c 4))) (/ (pow d 2) (pow c 2))) c)> |
#<alt (/ (- (+ 1 (* -1 (/ (pow d 6) (pow c 6)))) (+ (* -1 (/ (pow d 4) (pow c 4))) (/ (pow d 2) (pow c 2)))) c)> |
#<alt (/ 1 c)> |
#<alt (* -1 (/ (- (/ (pow d 2) (pow c 2)) 1) c))> |
#<alt (* -1 (/ (- (* -1 (/ (pow d 4) (pow c 4))) (+ 1 (* -1 (/ (pow d 2) (pow c 2))))) c))> |
#<alt (* -1 (/ (- (/ (pow d 6) (pow c 6)) (+ 1 (+ (* -1 (/ (pow d 2) (pow c 2))) (/ (pow d 4) (pow c 4))))) c))> |
#<alt (/ 1 c)> |
#<alt (+ (* -1 (/ (pow d 2) (pow c 3))) (/ 1 c))> |
#<alt (+ (* (pow d 2) (- (/ (pow d 2) (pow c 5)) (/ 1 (pow c 3)))) (/ 1 c))> |
#<alt (+ (* (pow d 2) (- (* (pow d 2) (+ (* -1 (/ (pow d 2) (pow c 7))) (/ 1 (pow c 5)))) (/ 1 (pow c 3)))) (/ 1 c))> |
#<alt (/ c (pow d 2))> |
#<alt (/ (+ c (* -1 (/ (pow c 3) (pow d 2)))) (pow d 2))> |
#<alt (/ (- (+ c (/ (pow c 5) (pow d 4))) (/ (pow c 3) (pow d 2))) (pow d 2))> |
#<alt (/ (- (+ c (* -1 (/ (pow c 7) (pow d 6)))) (+ (* -1 (/ (pow c 5) (pow d 4))) (/ (pow c 3) (pow d 2)))) (pow d 2))> |
#<alt (/ c (pow d 2))> |
#<alt (/ (+ c (* -1 (/ (pow c 3) (pow d 2)))) (pow d 2))> |
#<alt (/ (- (+ c (/ (pow c 5) (pow d 4))) (/ (pow c 3) (pow d 2))) (pow d 2))> |
#<alt (/ (- (+ c (* -1 (/ (pow c 7) (pow d 6)))) (+ (* -1 (/ (pow c 5) (pow d 4))) (/ (pow c 3) (pow d 2)))) (pow d 2))> |
#<alt (pow c 2)> |
#<alt (+ (pow c 2) (pow d 2))> |
#<alt (+ (pow c 2) (pow d 2))> |
#<alt (+ (pow c 2) (pow d 2))> |
#<alt (pow d 2)> |
#<alt (* (pow d 2) (+ 1 (/ (pow c 2) (pow d 2))))> |
#<alt (* (pow d 2) (+ 1 (/ (pow c 2) (pow d 2))))> |
#<alt (* (pow d 2) (+ 1 (/ (pow c 2) (pow d 2))))> |
#<alt (pow d 2)> |
#<alt (* (pow d 2) (+ 1 (/ (pow c 2) (pow d 2))))> |
#<alt (* (pow d 2) (+ 1 (/ (pow c 2) (pow d 2))))> |
#<alt (* (pow d 2) (+ 1 (/ (pow c 2) (pow d 2))))> |
#<alt (pow d 2)> |
#<alt (+ (pow c 2) (pow d 2))> |
#<alt (+ (pow c 2) (pow d 2))> |
#<alt (+ (pow c 2) (pow d 2))> |
#<alt (pow c 2)> |
#<alt (* (pow c 2) (+ 1 (/ (pow d 2) (pow c 2))))> |
#<alt (* (pow c 2) (+ 1 (/ (pow d 2) (pow c 2))))> |
#<alt (* (pow c 2) (+ 1 (/ (pow d 2) (pow c 2))))> |
#<alt (pow c 2)> |
#<alt (* (pow c 2) (+ 1 (/ (pow d 2) (pow c 2))))> |
#<alt (* (pow c 2) (+ 1 (/ (pow d 2) (pow c 2))))> |
#<alt (* (pow c 2) (+ 1 (/ (pow d 2) (pow c 2))))> |
#<alt (pow c 2)> |
#<alt (pow c 2)> |
#<alt (pow c 2)> |
#<alt (pow c 2)> |
#<alt (pow c 2)> |
#<alt (pow c 2)> |
#<alt (pow c 2)> |
#<alt (pow c 2)> |
#<alt (pow c 2)> |
#<alt (pow c 2)> |
#<alt (pow c 2)> |
#<alt (pow c 2)> |
#<alt (/ b d)> |
#<alt (/ b d)> |
#<alt (/ b d)> |
#<alt (/ b d)> |
#<alt (/ b d)> |
#<alt (/ b d)> |
#<alt (/ b d)> |
#<alt (/ b d)> |
#<alt (/ b d)> |
#<alt (/ b d)> |
#<alt (/ b d)> |
#<alt (/ b d)> |
#<alt (/ b d)> |
#<alt (/ b d)> |
#<alt (/ b d)> |
#<alt (/ b d)> |
#<alt (/ b d)> |
#<alt (/ b d)> |
#<alt (/ b d)> |
#<alt (/ b d)> |
#<alt (/ b d)> |
#<alt (/ b d)> |
#<alt (/ b d)> |
#<alt (/ b d)> |
#<alt (/ b d)> |
#<alt (/ b d)> |
#<alt (/ b d)> |
#<alt (/ b d)> |
#<alt (/ b d)> |
#<alt (/ b d)> |
#<alt (/ b d)> |
#<alt (/ b d)> |
#<alt (/ b d)> |
#<alt (/ b d)> |
#<alt (/ b d)> |
#<alt (/ b d)> |
#<alt (/ b d)> |
#<alt (/ b d)> |
#<alt (/ b d)> |
#<alt (/ b d)> |
#<alt (/ b d)> |
#<alt (/ b d)> |
#<alt (/ b d)> |
#<alt (/ b d)> |
#<alt (/ b d)> |
#<alt (/ b d)> |
#<alt (/ b d)> |
#<alt (/ b d)> |
#<alt (/ d b)> |
#<alt (/ d b)> |
#<alt (/ d b)> |
#<alt (/ d b)> |
#<alt (/ d b)> |
#<alt (/ d b)> |
#<alt (/ d b)> |
#<alt (/ d b)> |
#<alt (/ d b)> |
#<alt (/ d b)> |
#<alt (/ d b)> |
#<alt (/ d b)> |
#<alt (/ d b)> |
#<alt (/ d b)> |
#<alt (/ d b)> |
#<alt (/ d b)> |
#<alt (/ d b)> |
#<alt (/ d b)> |
#<alt (/ d b)> |
#<alt (/ d b)> |
#<alt (/ d b)> |
#<alt (/ d b)> |
#<alt (/ d b)> |
#<alt (/ d b)> |
#<alt (/ a c)> |
#<alt (+ (/ a c) (/ (* b d) (pow c 2)))> |
#<alt (+ (/ a c) (/ (* b d) (pow c 2)))> |
#<alt (+ (/ a c) (/ (* b d) (pow c 2)))> |
#<alt (/ (* b d) (pow c 2))> |
#<alt (* b (+ (/ a (* b c)) (/ d (pow c 2))))> |
#<alt (* b (+ (/ a (* b c)) (/ d (pow c 2))))> |
#<alt (* b (+ (/ a (* b c)) (/ d (pow c 2))))> |
#<alt (/ (* b d) (pow c 2))> |
#<alt (* -1 (* b (+ (* -1 (/ a (* b c))) (* -1 (/ d (pow c 2))))))> |
#<alt (* -1 (* b (+ (* -1 (/ a (* b c))) (* -1 (/ d (pow c 2))))))> |
#<alt (* -1 (* b (+ (* -1 (/ a (* b c))) (* -1 (/ d (pow c 2))))))> |
#<alt (/ a c)> |
#<alt (+ (/ a c) (/ (* b d) (pow c 2)))> |
#<alt (+ (/ a c) (/ (* b d) (pow c 2)))> |
#<alt (+ (/ a c) (/ (* b d) (pow c 2)))> |
#<alt (/ (* b d) (pow c 2))> |
#<alt (* d (+ (/ a (* c d)) (/ b (pow c 2))))> |
#<alt (* d (+ (/ a (* c d)) (/ b (pow c 2))))> |
#<alt (* d (+ (/ a (* c d)) (/ b (pow c 2))))> |
#<alt (/ (* b d) (pow c 2))> |
#<alt (* -1 (* d (+ (* -1 (/ a (* c d))) (* -1 (/ b (pow c 2))))))> |
#<alt (* -1 (* d (+ (* -1 (/ a (* c d))) (* -1 (/ b (pow c 2))))))> |
#<alt (* -1 (* d (+ (* -1 (/ a (* c d))) (* -1 (/ b (pow c 2))))))> |
#<alt (/ (* b d) (pow c 2))> |
#<alt (/ (+ (* a c) (* b d)) (pow c 2))> |
#<alt (/ (+ (* a c) (* b d)) (pow c 2))> |
#<alt (/ (+ (* a c) (* b d)) (pow c 2))> |
#<alt (/ a c)> |
#<alt (/ (+ a (/ (* b d) c)) c)> |
#<alt (/ (+ a (/ (* b d) c)) c)> |
#<alt (/ (+ a (/ (* b d) c)) c)> |
#<alt (/ a c)> |
#<alt (* -1 (/ (+ (* -1 a) (* -1 (/ (* b d) c))) c))> |
#<alt (* -1 (/ (+ (* -1 a) (* -1 (/ (* b d) c))) c))> |
#<alt (* -1 (/ (+ (* -1 a) (* -1 (/ (* b d) c))) c))> |
#<alt (/ (* b d) (pow c 2))> |
#<alt (+ (/ a c) (/ (* b d) (pow c 2)))> |
#<alt (+ (/ a c) (/ (* b d) (pow c 2)))> |
#<alt (+ (/ a c) (/ (* b d) (pow c 2)))> |
#<alt (/ a c)> |
#<alt (* a (+ (/ 1 c) (/ (* b d) (* a (pow c 2)))))> |
#<alt (* a (+ (/ 1 c) (/ (* b d) (* a (pow c 2)))))> |
#<alt (* a (+ (/ 1 c) (/ (* b d) (* a (pow c 2)))))> |
#<alt (/ a c)> |
#<alt (* -1 (* a (- (* -1 (/ (* b d) (* a (pow c 2)))) (/ 1 c))))> |
#<alt (* -1 (* a (- (* -1 (/ (* b d) (* a (pow c 2)))) (/ 1 c))))> |
#<alt (* -1 (* a (- (* -1 (/ (* b d) (* a (pow c 2)))) (/ 1 c))))> |
#<alt a> |
#<alt (+ a (/ (* b d) c))> |
#<alt (+ a (/ (* b d) c))> |
#<alt (+ a (/ (* b d) c))> |
#<alt (/ (* b d) c)> |
#<alt (* b (+ (/ a b) (/ d c)))> |
#<alt (* b (+ (/ a b) (/ d c)))> |
#<alt (* b (+ (/ a b) (/ d c)))> |
#<alt (/ (* b d) c)> |
#<alt (* -1 (* b (+ (* -1 (/ a b)) (* -1 (/ d c)))))> |
#<alt (* -1 (* b (+ (* -1 (/ a b)) (* -1 (/ d c)))))> |
#<alt (* -1 (* b (+ (* -1 (/ a b)) (* -1 (/ d c)))))> |
#<alt a> |
#<alt (+ a (/ (* b d) c))> |
#<alt (+ a (/ (* b d) c))> |
#<alt (+ a (/ (* b d) c))> |
#<alt (/ (* b d) c)> |
#<alt (* d (+ (/ a d) (/ b c)))> |
#<alt (* d (+ (/ a d) (/ b c)))> |
#<alt (* d (+ (/ a d) (/ b c)))> |
#<alt (/ (* b d) c)> |
#<alt (* -1 (* d (+ (* -1 (/ a d)) (* -1 (/ b c)))))> |
#<alt (* -1 (* d (+ (* -1 (/ a d)) (* -1 (/ b c)))))> |
#<alt (* -1 (* d (+ (* -1 (/ a d)) (* -1 (/ b c)))))> |
#<alt (/ (* b d) c)> |
#<alt (/ (+ (* a c) (* b d)) c)> |
#<alt (/ (+ (* a c) (* b d)) c)> |
#<alt (/ (+ (* a c) (* b d)) c)> |
#<alt a> |
#<alt (+ a (/ (* b d) c))> |
#<alt (+ a (/ (* b d) c))> |
#<alt (+ a (/ (* b d) c))> |
#<alt a> |
#<alt (+ a (/ (* b d) c))> |
#<alt (+ a (/ (* b d) c))> |
#<alt (+ a (/ (* b d) c))> |
#<alt (/ (* b d) c)> |
#<alt (+ a (/ (* b d) c))> |
#<alt (+ a (/ (* b d) c))> |
#<alt (+ a (/ (* b d) c))> |
#<alt a> |
#<alt (* a (+ 1 (/ (* b d) (* a c))))> |
#<alt (* a (+ 1 (/ (* b d) (* a c))))> |
#<alt (* a (+ 1 (/ (* b d) (* a c))))> |
#<alt a> |
#<alt (* -1 (* a (- (* -1 (/ (* b d) (* a c))) 1)))> |
#<alt (* -1 (* a (- (* -1 (/ (* b d) (* a c))) 1)))> |
#<alt (* -1 (* a (- (* -1 (/ (* b d) (* a c))) 1)))> |
#<alt (/ d c)> |
#<alt (/ d c)> |
#<alt (/ d c)> |
#<alt (/ d c)> |
#<alt (/ d c)> |
#<alt (/ d c)> |
#<alt (/ d c)> |
#<alt (/ d c)> |
#<alt (/ d c)> |
#<alt (/ d c)> |
#<alt (/ d c)> |
#<alt (/ d c)> |
#<alt (/ d c)> |
#<alt (/ d c)> |
#<alt (/ d c)> |
#<alt (/ d c)> |
#<alt (/ d c)> |
#<alt (/ d c)> |
#<alt (/ d c)> |
#<alt (/ d c)> |
#<alt (/ d c)> |
#<alt (/ d c)> |
#<alt (/ d c)> |
#<alt (/ d c)> |
#<alt (* b d)> |
#<alt (* d (+ b (* -1 (/ (* a d) c))))> |
#<alt (* d (+ b (* -1 (/ (* a d) c))))> |
#<alt (* d (+ b (* -1 (/ (* a d) c))))> |
#<alt (* -1 (/ (* a (pow d 2)) c))> |
#<alt (* (pow d 2) (+ (* -1 (/ a c)) (/ b d)))> |
#<alt (* (pow d 2) (+ (* -1 (/ a c)) (/ b d)))> |
#<alt (* (pow d 2) (+ (* -1 (/ a c)) (/ b d)))> |
#<alt (* -1 (/ (* a (pow d 2)) c))> |
#<alt (* (pow d 2) (+ (* -1 (/ a c)) (/ b d)))> |
#<alt (* (pow d 2) (+ (* -1 (/ a c)) (/ b d)))> |
#<alt (* (pow d 2) (+ (* -1 (/ a c)) (/ b d)))> |
#<alt (* b d)> |
#<alt (+ (* -1 (/ (* a (pow d 2)) c)) (* b d))> |
#<alt (+ (* -1 (/ (* a (pow d 2)) c)) (* b d))> |
#<alt (+ (* -1 (/ (* a (pow d 2)) c)) (* b d))> |
#<alt (* -1 (/ (* a (pow d 2)) c))> |
#<alt (* a (+ (* -1 (/ (pow d 2) c)) (/ (* b d) a)))> |
#<alt (* a (+ (* -1 (/ (pow d 2) c)) (/ (* b d) a)))> |
#<alt (* a (+ (* -1 (/ (pow d 2) c)) (/ (* b d) a)))> |
#<alt (* -1 (/ (* a (pow d 2)) c))> |
#<alt (* -1 (* a (+ (* -1 (/ (* b d) a)) (/ (pow d 2) c))))> |
#<alt (* -1 (* a (+ (* -1 (/ (* b d) a)) (/ (pow d 2) c))))> |
#<alt (* -1 (* a (+ (* -1 (/ (* b d) a)) (/ (pow d 2) c))))> |
#<alt (* -1 (/ (* a (pow d 2)) c))> |
#<alt (/ (+ (* -1 (* a (pow d 2))) (* b (* c d))) c)> |
#<alt (/ (+ (* -1 (* a (pow d 2))) (* b (* c d))) c)> |
#<alt (/ (+ (* -1 (* a (pow d 2))) (* b (* c d))) c)> |
#<alt (* b d)> |
#<alt (+ (* -1 (/ (* a (pow d 2)) c)) (* b d))> |
#<alt (+ (* -1 (/ (* a (pow d 2)) c)) (* b d))> |
#<alt (+ (* -1 (/ (* a (pow d 2)) c)) (* b d))> |
#<alt (* b d)> |
#<alt (+ (* -1 (/ (* a (pow d 2)) c)) (* b d))> |
#<alt (+ (* -1 (/ (* a (pow d 2)) c)) (* b d))> |
#<alt (+ (* -1 (/ (* a (pow d 2)) c)) (* b d))> |
#<alt (* -1 (/ (* a (pow d 2)) c))> |
#<alt (+ (* -1 (/ (* a (pow d 2)) c)) (* b d))> |
#<alt (+ (* -1 (/ (* a (pow d 2)) c)) (* b d))> |
#<alt (+ (* -1 (/ (* a (pow d 2)) c)) (* b d))> |
#<alt (* b d)> |
#<alt (* b (+ d (* -1 (/ (* a (pow d 2)) (* b c)))))> |
#<alt (* b (+ d (* -1 (/ (* a (pow d 2)) (* b c)))))> |
#<alt (* b (+ d (* -1 (/ (* a (pow d 2)) (* b c)))))> |
#<alt (* b d)> |
#<alt (* -1 (* b (+ (* -1 d) (/ (* a (pow d 2)) (* b c)))))> |
#<alt (* -1 (* b (+ (* -1 d) (/ (* a (pow d 2)) (* b c)))))> |
#<alt (* -1 (* b (+ (* -1 d) (/ (* a (pow d 2)) (* b c)))))> |
#<alt (/ (* b d) c)> |
#<alt (+ (* a (+ 1 (* -1 (/ (pow d 2) (pow c 2))))) (/ (* b d) c))> |
#<alt (+ (* a (+ 1 (* -1 (/ (pow d 2) (pow c 2))))) (/ (* b d) c))> |
#<alt (+ (* a (+ 1 (* -1 (/ (pow d 2) (pow c 2))))) (/ (* b d) c))> |
#<alt (* a (+ 1 (* -1 (/ (pow d 2) (pow c 2)))))> |
#<alt (* a (+ 1 (+ (* -1 (/ (pow d 2) (pow c 2))) (/ (* b d) (* a c)))))> |
#<alt (* a (+ 1 (+ (* -1 (/ (pow d 2) (pow c 2))) (/ (* b d) (* a c)))))> |
#<alt (* a (+ 1 (+ (* -1 (/ (pow d 2) (pow c 2))) (/ (* b d) (* a c)))))> |
#<alt (* -1 (* a (- (/ (pow d 2) (pow c 2)) 1)))> |
#<alt (* -1 (* a (- (+ (* -1 (/ (* b d) (* a c))) (/ (pow d 2) (pow c 2))) 1)))> |
#<alt (* -1 (* a (- (+ (* -1 (/ (* b d) (* a c))) (/ (pow d 2) (pow c 2))) 1)))> |
#<alt (* -1 (* a (- (+ (* -1 (/ (* b d) (* a c))) (/ (pow d 2) (pow c 2))) 1)))> |
#<alt a> |
#<alt (+ a (/ (* b d) c))> |
#<alt (+ a (* d (+ (* -1 (/ (* a d) (pow c 2))) (/ b c))))> |
#<alt (+ a (* d (+ (* -1 (/ (* a d) (pow c 2))) (/ b c))))> |
#<alt (* -1 (/ (* a (pow d 2)) (pow c 2)))> |
#<alt (* (pow d 2) (+ (* -1 (/ a (pow c 2))) (/ b (* c d))))> |
#<alt (* (pow d 2) (+ (* -1 (/ a (pow c 2))) (+ (/ a (pow d 2)) (/ b (* c d)))))> |
#<alt (* (pow d 2) (+ (* -1 (/ a (pow c 2))) (+ (/ a (pow d 2)) (/ b (* c d)))))> |
#<alt (* -1 (/ (* a (pow d 2)) (pow c 2)))> |
#<alt (* (pow d 2) (+ (* -1 (/ a (pow c 2))) (/ b (* c d))))> |
#<alt (* (pow d 2) (+ (* -1 (/ a (pow c 2))) (* -1 (/ (+ (* -1 (/ a d)) (* -1 (/ b c))) d))))> |
#<alt (* (pow d 2) (+ (* -1 (/ a (pow c 2))) (* -1 (/ (+ (* -1 (/ a d)) (* -1 (/ b c))) d))))> |
#<alt (* -1 (/ (* a (pow d 2)) (pow c 2)))> |
#<alt (/ (+ (* -1 (* a (pow d 2))) (* b (* c d))) (pow c 2))> |
#<alt (/ (+ (* -1 (* a (pow d 2))) (* c (+ (* a c) (* b d)))) (pow c 2))> |
#<alt (/ (+ (* -1 (* a (pow d 2))) (* c (+ (* a c) (* b d)))) (pow c 2))> |
#<alt a> |
#<alt (+ a (/ (* b d) c))> |
#<alt (+ a (+ (* -1 (/ (* a (pow d 2)) (pow c 2))) (/ (* b d) c)))> |
#<alt (+ a (+ (* -1 (/ (* a (pow d 2)) (pow c 2))) (/ (* b d) c)))> |
#<alt a> |
#<alt (+ a (/ (* b d) c))> |
#<alt (+ a (* -1 (/ (+ (* -1 (* b d)) (/ (* a (pow d 2)) c)) c)))> |
#<alt (+ a (* -1 (/ (+ (* -1 (* b d)) (/ (* a (pow d 2)) c)) c)))> |
#<alt (+ a (* -1 (/ (* a (pow d 2)) (pow c 2))))> |
#<alt (+ a (+ (* -1 (/ (* a (pow d 2)) (pow c 2))) (/ (* b d) c)))> |
#<alt (+ a (+ (* -1 (/ (* a (pow d 2)) (pow c 2))) (/ (* b d) c)))> |
#<alt (+ a (+ (* -1 (/ (* a (pow d 2)) (pow c 2))) (/ (* b d) c)))> |
#<alt (/ (* b d) c)> |
#<alt (* b (+ (* -1 (/ (* a (pow d 2)) (* b (pow c 2)))) (+ (/ a b) (/ d c))))> |
#<alt (* b (+ (* -1 (/ (* a (pow d 2)) (* b (pow c 2)))) (+ (/ a b) (/ d c))))> |
#<alt (* b (+ (* -1 (/ (* a (pow d 2)) (* b (pow c 2)))) (+ (/ a b) (/ d c))))> |
#<alt (/ (* b d) c)> |
#<alt (* -1 (* b (+ (* -1 (/ d c)) (* -1 (/ (+ a (* -1 (/ (* a (pow d 2)) (pow c 2)))) b)))))> |
#<alt (* -1 (* b (+ (* -1 (/ d c)) (* -1 (/ (+ a (* -1 (/ (* a (pow d 2)) (pow c 2)))) b)))))> |
#<alt (* -1 (* b (+ (* -1 (/ d c)) (* -1 (/ (+ a (* -1 (/ (* a (pow d 2)) (pow c 2)))) b)))))> |
#<alt (/ (* b d) (pow c 2))> |
#<alt (+ (* a (+ (* -1 (/ (pow d 2) (pow c 3))) (/ 1 c))) (/ (* b d) (pow c 2)))> |
#<alt (+ (* a (+ (* -1 (/ (pow d 2) (pow c 3))) (/ 1 c))) (/ (* b d) (pow c 2)))> |
#<alt (+ (* a (+ (* -1 (/ (pow d 2) (pow c 3))) (/ 1 c))) (/ (* b d) (pow c 2)))> |
#<alt (/ (* a (+ 1 (* -1 (/ (pow d 2) (pow c 2))))) c)> |
#<alt (* a (+ (* -1 (/ (pow d 2) (pow c 3))) (+ (/ 1 c) (/ (* b d) (* a (pow c 2))))))> |
#<alt (* a (+ (* -1 (/ (pow d 2) (pow c 3))) (+ (/ 1 c) (/ (* b d) (* a (pow c 2))))))> |
#<alt (* a (+ (* -1 (/ (pow d 2) (pow c 3))) (+ (/ 1 c) (/ (* b d) (* a (pow c 2))))))> |
#<alt (* -1 (/ (* a (- (/ (pow d 2) (pow c 2)) 1)) c))> |
#<alt (* -1 (* a (- (+ (* -1 (/ (* b d) (* a (pow c 2)))) (/ (pow d 2) (pow c 3))) (/ 1 c))))> |
#<alt (* -1 (* a (- (+ (* -1 (/ (* b d) (* a (pow c 2)))) (/ (pow d 2) (pow c 3))) (/ 1 c))))> |
#<alt (* -1 (* a (- (+ (* -1 (/ (* b d) (* a (pow c 2)))) (/ (pow d 2) (pow c 3))) (/ 1 c))))> |
#<alt (/ a c)> |
#<alt (+ (/ a c) (/ (* b d) (pow c 2)))> |
#<alt (+ (* d (+ (* -1 (/ (* a d) (pow c 3))) (/ b (pow c 2)))) (/ a c))> |
#<alt (+ (* d (+ (* -1 (/ (* a d) (pow c 3))) (/ b (pow c 2)))) (/ a c))> |
#<alt (* -1 (/ (* a (pow d 2)) (pow c 3)))> |
#<alt (* (pow d 2) (+ (* -1 (/ a (pow c 3))) (/ b (* (pow c 2) d))))> |
#<alt (* (pow d 2) (+ (* -1 (/ a (pow c 3))) (+ (/ a (* c (pow d 2))) (/ b (* (pow c 2) d)))))> |
#<alt (* (pow d 2) (+ (* -1 (/ a (pow c 3))) (+ (/ a (* c (pow d 2))) (/ b (* (pow c 2) d)))))> |
#<alt (* -1 (/ (* a (pow d 2)) (pow c 3)))> |
#<alt (* (pow d 2) (+ (* -1 (/ a (pow c 3))) (/ b (* (pow c 2) d))))> |
#<alt (* (pow d 2) (+ (* -1 (/ a (pow c 3))) (* -1 (/ (+ (* -1 (/ a (* c d))) (* -1 (/ b (pow c 2)))) d))))> |
#<alt (* (pow d 2) (+ (* -1 (/ a (pow c 3))) (* -1 (/ (+ (* -1 (/ a (* c d))) (* -1 (/ b (pow c 2)))) d))))> |
#<alt (* -1 (/ (* a (pow d 2)) (pow c 3)))> |
#<alt (/ (+ (* -1 (* a (pow d 2))) (* b (* c d))) (pow c 3))> |
#<alt (/ (+ (* -1 (* a (pow d 2))) (* c (+ (* a c) (* b d)))) (pow c 3))> |
#<alt (/ (+ (* -1 (* a (pow d 2))) (* c (+ (* a c) (* b d)))) (pow c 3))> |
#<alt (/ a c)> |
#<alt (/ (+ a (/ (* b d) c)) c)> |
#<alt (/ (+ a (+ (* -1 (/ (* a (pow d 2)) (pow c 2))) (/ (* b d) c))) c)> |
#<alt (/ (+ a (+ (* -1 (/ (* a (pow d 2)) (pow c 2))) (/ (* b d) c))) c)> |
#<alt (/ a c)> |
#<alt (* -1 (/ (+ (* -1 a) (* -1 (/ (* b d) c))) c))> |
#<alt (* -1 (/ (+ (* -1 a) (* -1 (/ (+ (* -1 (/ (* a (pow d 2)) c)) (* b d)) c))) c))> |
#<alt (* -1 (/ (+ (* -1 a) (* -1 (/ (+ (* -1 (/ (* a (pow d 2)) c)) (* b d)) c))) c))> |
#<alt (/ (+ a (* -1 (/ (* a (pow d 2)) (pow c 2)))) c)> |
#<alt (+ (* -1 (/ (* a (pow d 2)) (pow c 3))) (+ (/ a c) (/ (* b d) (pow c 2))))> |
#<alt (+ (* -1 (/ (* a (pow d 2)) (pow c 3))) (+ (/ a c) (/ (* b d) (pow c 2))))> |
#<alt (+ (* -1 (/ (* a (pow d 2)) (pow c 3))) (+ (/ a c) (/ (* b d) (pow c 2))))> |
#<alt (/ (* b d) (pow c 2))> |
#<alt (* b (+ (* -1 (/ (* a (pow d 2)) (* b (pow c 3)))) (+ (/ a (* b c)) (/ d (pow c 2)))))> |
#<alt (* b (+ (* -1 (/ (* a (pow d 2)) (* b (pow c 3)))) (+ (/ a (* b c)) (/ d (pow c 2)))))> |
#<alt (* b (+ (* -1 (/ (* a (pow d 2)) (* b (pow c 3)))) (+ (/ a (* b c)) (/ d (pow c 2)))))> |
#<alt (/ (* b d) (pow c 2))> |
#<alt (* -1 (* b (+ (* -1 (/ d (pow c 2))) (* -1 (/ (+ (* -1 (/ (* a (pow d 2)) (pow c 3))) (/ a c)) b)))))> |
#<alt (* -1 (* b (+ (* -1 (/ d (pow c 2))) (* -1 (/ (+ (* -1 (/ (* a (pow d 2)) (pow c 3))) (/ a c)) b)))))> |
#<alt (* -1 (* b (+ (* -1 (/ d (pow c 2))) (* -1 (/ (+ (* -1 (/ (* a (pow d 2)) (pow c 3))) (/ a c)) b)))))> |
#<alt (/ (* b d) c)> |
#<alt (* d (+ (* -1 (/ (* a d) (pow c 2))) (/ b c)))> |
#<alt (* d (+ (* -1 (/ (* a d) (pow c 2))) (/ b c)))> |
#<alt (* d (+ (* -1 (/ (* a d) (pow c 2))) (/ b c)))> |
#<alt (* -1 (/ (* a (pow d 2)) (pow c 2)))> |
#<alt (* (pow d 2) (+ (* -1 (/ a (pow c 2))) (/ b (* c d))))> |
#<alt (* (pow d 2) (+ (* -1 (/ a (pow c 2))) (/ b (* c d))))> |
#<alt (* (pow d 2) (+ (* -1 (/ a (pow c 2))) (/ b (* c d))))> |
#<alt (* -1 (/ (* a (pow d 2)) (pow c 2)))> |
#<alt (* (pow d 2) (+ (* -1 (/ a (pow c 2))) (/ b (* c d))))> |
#<alt (* (pow d 2) (+ (* -1 (/ a (pow c 2))) (/ b (* c d))))> |
#<alt (* (pow d 2) (+ (* -1 (/ a (pow c 2))) (/ b (* c d))))> |
#<alt (/ (* b d) c)> |
#<alt (+ (* -1 (/ (* a (pow d 2)) (pow c 2))) (/ (* b d) c))> |
#<alt (+ (* -1 (/ (* a (pow d 2)) (pow c 2))) (/ (* b d) c))> |
#<alt (+ (* -1 (/ (* a (pow d 2)) (pow c 2))) (/ (* b d) c))> |
#<alt (* -1 (/ (* a (pow d 2)) (pow c 2)))> |
#<alt (* a (+ (* -1 (/ (pow d 2) (pow c 2))) (/ (* b d) (* a c))))> |
#<alt (* a (+ (* -1 (/ (pow d 2) (pow c 2))) (/ (* b d) (* a c))))> |
#<alt (* a (+ (* -1 (/ (pow d 2) (pow c 2))) (/ (* b d) (* a c))))> |
#<alt (* -1 (/ (* a (pow d 2)) (pow c 2)))> |
#<alt (* -1 (* a (+ (* -1 (/ (* b d) (* a c))) (/ (pow d 2) (pow c 2)))))> |
#<alt (* -1 (* a (+ (* -1 (/ (* b d) (* a c))) (/ (pow d 2) (pow c 2)))))> |
#<alt (* -1 (* a (+ (* -1 (/ (* b d) (* a c))) (/ (pow d 2) (pow c 2)))))> |
#<alt (* -1 (/ (* a (pow d 2)) (pow c 2)))> |
#<alt (/ (+ (* -1 (* a (pow d 2))) (* b (* c d))) (pow c 2))> |
#<alt (/ (+ (* -1 (* a (pow d 2))) (* b (* c d))) (pow c 2))> |
#<alt (/ (+ (* -1 (* a (pow d 2))) (* b (* c d))) (pow c 2))> |
#<alt (/ (* b d) c)> |
#<alt (/ (+ (* -1 (/ (* a (pow d 2)) c)) (* b d)) c)> |
#<alt (/ (+ (* -1 (/ (* a (pow d 2)) c)) (* b d)) c)> |
#<alt (/ (+ (* -1 (/ (* a (pow d 2)) c)) (* b d)) c)> |
#<alt (/ (* b d) c)> |
#<alt (* -1 (/ (+ (* -1 (* b d)) (/ (* a (pow d 2)) c)) c))> |
#<alt (* -1 (/ (+ (* -1 (* b d)) (/ (* a (pow d 2)) c)) c))> |
#<alt (* -1 (/ (+ (* -1 (* b d)) (/ (* a (pow d 2)) c)) c))> |
#<alt (* -1 (/ (* a (pow d 2)) (pow c 2)))> |
#<alt (+ (* -1 (/ (* a (pow d 2)) (pow c 2))) (/ (* b d) c))> |
#<alt (+ (* -1 (/ (* a (pow d 2)) (pow c 2))) (/ (* b d) c))> |
#<alt (+ (* -1 (/ (* a (pow d 2)) (pow c 2))) (/ (* b d) c))> |
#<alt (/ (* b d) c)> |
#<alt (* b (+ (* -1 (/ (* a (pow d 2)) (* b (pow c 2)))) (/ d c)))> |
#<alt (* b (+ (* -1 (/ (* a (pow d 2)) (* b (pow c 2)))) (/ d c)))> |
#<alt (* b (+ (* -1 (/ (* a (pow d 2)) (* b (pow c 2)))) (/ d c)))> |
#<alt (/ (* b d) c)> |
#<alt (* -1 (* b (+ (* -1 (/ d c)) (/ (* a (pow d 2)) (* b (pow c 2))))))> |
#<alt (* -1 (* b (+ (* -1 (/ d c)) (/ (* a (pow d 2)) (* b (pow c 2))))))> |
#<alt (* -1 (* b (+ (* -1 (/ d c)) (/ (* a (pow d 2)) (* b (pow c 2))))))> |
#<alt (/ d (pow c 2))> |
#<alt (* d (+ (* -1 (/ (pow d 2) (pow c 4))) (/ 1 (pow c 2))))> |
#<alt (* d (+ (* (pow d 2) (- (/ (pow d 2) (pow c 6)) (/ 1 (pow c 4)))) (/ 1 (pow c 2))))> |
#<alt (* d (+ (* (pow d 2) (- (* (pow d 2) (+ (* -1 (/ (pow d 2) (pow c 8))) (/ 1 (pow c 6)))) (/ 1 (pow c 4)))) (/ 1 (pow c 2))))> |
#<alt (/ 1 d)> |
#<alt (/ (+ 1 (* -1 (/ (pow c 2) (pow d 2)))) d)> |
#<alt (/ (- (+ 1 (/ (pow c 4) (pow d 4))) (/ (pow c 2) (pow d 2))) d)> |
#<alt (/ (- (+ 1 (* -1 (/ (pow c 6) (pow d 6)))) (+ (* -1 (/ (pow c 4) (pow d 4))) (/ (pow c 2) (pow d 2)))) d)> |
#<alt (/ 1 d)> |
#<alt (* -1 (/ (- (/ (pow c 2) (pow d 2)) 1) d))> |
#<alt (* -1 (/ (- (* -1 (/ (pow c 4) (pow d 4))) (+ 1 (* -1 (/ (pow c 2) (pow d 2))))) d))> |
#<alt (* -1 (/ (- (/ (pow c 6) (pow d 6)) (+ 1 (+ (* -1 (/ (pow c 2) (pow d 2))) (/ (pow c 4) (pow d 4))))) d))> |
#<alt (/ 1 d)> |
#<alt (+ (* -1 (/ (pow c 2) (pow d 3))) (/ 1 d))> |
#<alt (+ (* (pow c 2) (- (/ (pow c 2) (pow d 5)) (/ 1 (pow d 3)))) (/ 1 d))> |
#<alt (+ (* (pow c 2) (- (* (pow c 2) (+ (* -1 (/ (pow c 2) (pow d 7))) (/ 1 (pow d 5)))) (/ 1 (pow d 3)))) (/ 1 d))> |
#<alt (/ d (pow c 2))> |
#<alt (/ (+ d (* -1 (/ (pow d 3) (pow c 2)))) (pow c 2))> |
#<alt (/ (- (+ d (/ (pow d 5) (pow c 4))) (/ (pow d 3) (pow c 2))) (pow c 2))> |
#<alt (/ (- (+ d (* -1 (/ (pow d 7) (pow c 6)))) (+ (* -1 (/ (pow d 5) (pow c 4))) (/ (pow d 3) (pow c 2)))) (pow c 2))> |
#<alt (/ d (pow c 2))> |
#<alt (/ (+ d (* -1 (/ (pow d 3) (pow c 2)))) (pow c 2))> |
#<alt (/ (- (+ d (/ (pow d 5) (pow c 4))) (/ (pow d 3) (pow c 2))) (pow c 2))> |
#<alt (/ (- (+ d (* -1 (/ (pow d 7) (pow c 6)))) (+ (* -1 (/ (pow d 5) (pow c 4))) (/ (pow d 3) (pow c 2)))) (pow c 2))> |
#<alt (/ (* b d) (+ (pow c 2) (pow d 2)))> |
#<alt (/ (* b d) (+ (pow c 2) (pow d 2)))> |
#<alt (/ (* b d) (+ (pow c 2) (pow d 2)))> |
#<alt (/ (* b d) (+ (pow c 2) (pow d 2)))> |
#<alt (/ (* b d) (+ (pow c 2) (pow d 2)))> |
#<alt (/ (* b d) (+ (pow c 2) (pow d 2)))> |
#<alt (/ (* b d) (+ (pow c 2) (pow d 2)))> |
#<alt (/ (* b d) (+ (pow c 2) (pow d 2)))> |
#<alt (/ (* b d) (+ (pow c 2) (pow d 2)))> |
#<alt (/ (* b d) (+ (pow c 2) (pow d 2)))> |
#<alt (/ (* b d) (+ (pow c 2) (pow d 2)))> |
#<alt (/ (* b d) (+ (pow c 2) (pow d 2)))> |
#<alt (/ (* b d) (pow c 2))> |
#<alt (* d (+ (* -1 (/ (* b (pow d 2)) (pow c 4))) (/ b (pow c 2))))> |
#<alt (* d (+ (* (pow d 2) (- (/ (* b (pow d 2)) (pow c 6)) (/ b (pow c 4)))) (/ b (pow c 2))))> |
#<alt (* d (+ (* (pow d 2) (- (* (pow d 2) (- (* -1 (/ (* b (pow d 2)) (pow c 8))) (* -1 (/ b (pow c 6))))) (/ b (pow c 4)))) (/ b (pow c 2))))> |
#<alt (/ b d)> |
#<alt (/ (+ b (* -1 (/ (* b (pow c 2)) (pow d 2)))) d)> |
#<alt (/ (- (+ b (/ (* b (pow c 4)) (pow d 4))) (/ (* b (pow c 2)) (pow d 2))) d)> |
#<alt (/ (- (+ b (* -1 (/ (* b (pow c 6)) (pow d 6)))) (+ (* -1 (/ (* b (pow c 4)) (pow d 4))) (/ (* b (pow c 2)) (pow d 2)))) d)> |
#<alt (/ b d)> |
#<alt (* -1 (/ (+ (* -1 b) (/ (* b (pow c 2)) (pow d 2))) d))> |
#<alt (* -1 (/ (+ (* -1 b) (+ (* -1 (/ (* b (pow c 4)) (pow d 4))) (/ (* b (pow c 2)) (pow d 2)))) d))> |
#<alt (* -1 (/ (+ (* -1 b) (+ (* -1 (/ (* b (pow c 4)) (pow d 4))) (+ (/ (* b (pow c 2)) (pow d 2)) (/ (* b (pow c 6)) (pow d 6))))) d))> |
#<alt (/ b d)> |
#<alt (+ (* -1 (/ (* b (pow c 2)) (pow d 3))) (/ b d))> |
#<alt (+ (* (pow c 2) (- (/ (* b (pow c 2)) (pow d 5)) (/ b (pow d 3)))) (/ b d))> |
#<alt (+ (* (pow c 2) (- (* (pow c 2) (- (* -1 (/ (* b (pow c 2)) (pow d 7))) (* -1 (/ b (pow d 5))))) (/ b (pow d 3)))) (/ b d))> |
#<alt (/ (* b d) (pow c 2))> |
#<alt (/ (+ (* -1 (/ (* b (pow d 3)) (pow c 2))) (* b d)) (pow c 2))> |
#<alt (/ (- (+ (* b d) (/ (* b (pow d 5)) (pow c 4))) (/ (* b (pow d 3)) (pow c 2))) (pow c 2))> |
#<alt (/ (- (+ (* -1 (/ (* b (pow d 7)) (pow c 6))) (* b d)) (+ (* -1 (/ (* b (pow d 5)) (pow c 4))) (/ (* b (pow d 3)) (pow c 2)))) (pow c 2))> |
#<alt (/ (* b d) (pow c 2))> |
#<alt (/ (+ (* -1 (/ (* b (pow d 3)) (pow c 2))) (* b d)) (pow c 2))> |
#<alt (/ (- (+ (* b d) (/ (* b (pow d 5)) (pow c 4))) (/ (* b (pow d 3)) (pow c 2))) (pow c 2))> |
#<alt (/ (- (+ (* -1 (/ (* b (pow d 7)) (pow c 6))) (* b d)) (+ (* -1 (/ (* b (pow d 5)) (pow c 4))) (/ (* b (pow d 3)) (pow c 2)))) (pow c 2))> |
#<alt (* -1 (/ (* a d) c))> |
#<alt (* -1 (/ (* a d) c))> |
#<alt (* -1 (/ (* a d) c))> |
#<alt (* -1 (/ (* a d) c))> |
#<alt (* -1 (/ (* a d) c))> |
#<alt (* -1 (/ (* a d) c))> |
#<alt (* -1 (/ (* a d) c))> |
#<alt (* -1 (/ (* a d) c))> |
#<alt (* -1 (/ (* a d) c))> |
#<alt (* -1 (/ (* a d) c))> |
#<alt (* -1 (/ (* a d) c))> |
#<alt (* -1 (/ (* a d) c))> |
#<alt (* -1 (/ (* a d) c))> |
#<alt (* -1 (/ (* a d) c))> |
#<alt (* -1 (/ (* a d) c))> |
#<alt (* -1 (/ (* a d) c))> |
#<alt (* -1 (/ (* a d) c))> |
#<alt (* -1 (/ (* a d) c))> |
#<alt (* -1 (/ (* a d) c))> |
#<alt (* -1 (/ (* a d) c))> |
#<alt (* -1 (/ (* a d) c))> |
#<alt (* -1 (/ (* a d) c))> |
#<alt (* -1 (/ (* a d) c))> |
#<alt (* -1 (/ (* a d) c))> |
#<alt (* -1 (/ (* a d) c))> |
#<alt (* -1 (/ (* a d) c))> |
#<alt (* -1 (/ (* a d) c))> |
#<alt (* -1 (/ (* a d) c))> |
#<alt (* -1 (/ (* a d) c))> |
#<alt (* -1 (/ (* a d) c))> |
#<alt (* -1 (/ (* a d) c))> |
#<alt (* -1 (/ (* a d) c))> |
#<alt (* -1 (/ (* a d) c))> |
#<alt (* -1 (/ (* a d) c))> |
#<alt (* -1 (/ (* a d) c))> |
#<alt (* -1 (/ (* a d) c))> |
147 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 37.0ms | d | @ | -inf | (/ d c) |
| 6.0ms | d | @ | inf | (/ c (+ (* d d) (* c c))) |
| 1.0ms | d | @ | inf | (/ d (+ (* d d) (* c c))) |
| 1.0ms | c | @ | 0 | (/ (* d (neg a)) c) |
| 1.0ms | a | @ | 0 | (+ (* a (/ c (+ (* d d) (* c c)))) (* b (/ d (+ (* d d) (* c c))))) |
| 1× | batch-egg-rewrite |
| 5 254× | /-lowering-/.f32 |
| 5 254× | /-lowering-/.f64 |
| 4 624× | accelerator-lowering-fma.f32 |
| 4 624× | accelerator-lowering-fma.f64 |
| 4 254× | *-lowering-*.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 29 | 156 |
| 1 | 170 | 148 |
| 2 | 1416 | 148 |
| 0 | 8205 | 135 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(+ (* a (/ c (+ (* d d) (* c c)))) (* b (/ d (+ (* d d) (* c c))))) |
(/ c (+ (* d d) (* c c))) |
(+ (* d d) (* c c)) |
(* c c) |
(/ b d) |
(/ 1 (/ d b)) |
(/ d b) |
(/ (+ (* b (/ d c)) a) c) |
(+ (* b (/ d c)) a) |
(/ d c) |
(+ (* d (/ (* d (neg a)) c)) (* b d)) |
(+ a (/ (+ (* d (/ (* d (neg a)) c)) (* b d)) c)) |
(/ (+ a (/ (+ (* d (/ (* d (neg a)) c)) (* b d)) c)) c) |
(/ (+ (* d (/ (* d (neg a)) c)) (* b d)) c) |
(/ d (+ (* d d) (* c c))) |
(* b (/ d (+ (* d d) (* c c)))) |
(/ (* d (neg a)) c) |
| Outputs |
|---|
(+.f64 (/.f64 (*.f64 a c) (fma.f64 d d (*.f64 c c))) (/.f64 (*.f64 d b) (fma.f64 d d (*.f64 c c)))) |
(+.f64 (/.f64 (*.f64 d b) (fma.f64 d d (*.f64 c c))) (/.f64 (*.f64 a c) (fma.f64 d d (*.f64 c c)))) |
(-.f64 (/.f64 (/.f64 (*.f64 (*.f64 a c) (*.f64 a c)) (*.f64 (fma.f64 d d (*.f64 c c)) (fma.f64 d d (*.f64 c c)))) (/.f64 (-.f64 (*.f64 a c) (*.f64 d b)) (fma.f64 d d (*.f64 c c)))) (/.f64 (/.f64 (*.f64 d (*.f64 b (*.f64 d b))) (*.f64 (fma.f64 d d (*.f64 c c)) (fma.f64 d d (*.f64 c c)))) (/.f64 (-.f64 (*.f64 a c) (*.f64 d b)) (fma.f64 d d (*.f64 c c))))) |
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(*.f64 d (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 d d (*.f64 c c))) b)) |
(*.f64 d (/.f64 b (fma.f64 d d (*.f64 c c)))) |
(*.f64 b (/.f64 d (fma.f64 d d (*.f64 c c)))) |
(*.f64 (/.f64 d (fma.f64 d d (*.f64 c c))) b) |
(*.f64 #s(literal 1 binary64) (/.f64 (*.f64 d b) (fma.f64 d d (*.f64 c c)))) |
(*.f64 (*.f64 d b) (/.f64 #s(literal 1 binary64) (fma.f64 d d (*.f64 c c)))) |
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 d d (*.f64 c c))) (/.f64 b (/.f64 #s(literal 1 binary64) d))) |
(*.f64 (neg.f64 (*.f64 d b)) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 d d (*.f64 c c))))) |
(*.f64 (*.f64 (neg.f64 d) b) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 d d (*.f64 c c))))) |
(*.f64 (*.f64 #s(literal 1 binary64) b) (/.f64 d (fma.f64 d d (*.f64 c c)))) |
(*.f64 (*.f64 b #s(literal 1 binary64)) (/.f64 d (fma.f64 d d (*.f64 c c)))) |
(*.f64 (*.f64 b (neg.f64 d)) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 d d (*.f64 c c))))) |
(*.f64 (/.f64 (*.f64 d b) (fma.f64 (*.f64 d d) (*.f64 d (*.f64 d (*.f64 d d))) (*.f64 (*.f64 c c) (*.f64 c (*.f64 c (*.f64 c c)))))) (fma.f64 d (*.f64 d (*.f64 d d)) (*.f64 (*.f64 c c) (-.f64 (*.f64 c c) (*.f64 d d))))) |
(*.f64 (/.f64 (*.f64 d b) (*.f64 (fma.f64 d d (*.f64 c c)) (*.f64 (+.f64 d c) (-.f64 d c)))) (*.f64 (+.f64 d c) (-.f64 d c))) |
(*.f64 (/.f64 d (fma.f64 (*.f64 d d) (*.f64 d (*.f64 d (*.f64 d d))) (*.f64 (*.f64 c c) (*.f64 c (*.f64 c (*.f64 c c)))))) (/.f64 b (/.f64 #s(literal 1 binary64) (fma.f64 d (*.f64 d (*.f64 d d)) (*.f64 (*.f64 c c) (-.f64 (*.f64 c c) (*.f64 d d))))))) |
(*.f64 (/.f64 d (*.f64 (fma.f64 d d (*.f64 c c)) (*.f64 (+.f64 d c) (-.f64 d c)))) (/.f64 b (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 d c) (-.f64 d c))))) |
(*.f64 (/.f64 b (fma.f64 d d (*.f64 c c))) d) |
(*.f64 (/.f64 b (fma.f64 (*.f64 d d) (*.f64 d (*.f64 d (*.f64 d d))) (*.f64 (*.f64 c c) (*.f64 c (*.f64 c (*.f64 c c)))))) (/.f64 d (/.f64 #s(literal 1 binary64) (fma.f64 d (*.f64 d (*.f64 d d)) (*.f64 (*.f64 c c) (-.f64 (*.f64 c c) (*.f64 d d))))))) |
(*.f64 (/.f64 b (*.f64 (fma.f64 d d (*.f64 c c)) (*.f64 (+.f64 d c) (-.f64 d c)))) (/.f64 d (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 d c) (-.f64 d c))))) |
(*.f64 (/.f64 b #s(literal -1 binary64)) (/.f64 (neg.f64 d) (fma.f64 d d (*.f64 c c)))) |
(exp.f64 (*.f64 (log.f64 (/.f64 c (*.f64 d (neg.f64 a)))) #s(literal -1 binary64))) |
(-.f64 (/.f64 #s(literal 0 binary64) c) (/.f64 (*.f64 a d) c)) |
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 (neg.f64 c))) (/.f64 (*.f64 a d) c)) |
(neg.f64 (/.f64 (*.f64 a d) c)) |
(/.f64 #s(literal 1 binary64) (/.f64 c (*.f64 d (neg.f64 a)))) |
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (/.f64 c (*.f64 d (neg.f64 a)))))) |
(/.f64 #s(literal 1 binary64) (/.f64 c (*.f64 (*.f64 d (neg.f64 a)) #s(literal 1 binary64)))) |
(/.f64 (*.f64 d (neg.f64 a)) c) |
(/.f64 (*.f64 d (neg.f64 a)) (neg.f64 (neg.f64 c))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 c (*.f64 d (neg.f64 a))))) |
(/.f64 (*.f64 a d) (neg.f64 c)) |
(/.f64 (*.f64 a d) (neg.f64 (neg.f64 (neg.f64 c)))) |
(/.f64 (*.f64 (*.f64 d (neg.f64 a)) #s(literal 1 binary64)) c) |
(/.f64 (neg.f64 (*.f64 (*.f64 d (neg.f64 a)) #s(literal 1 binary64))) (neg.f64 c)) |
(pow.f64 (/.f64 c (*.f64 d (neg.f64 a))) #s(literal -1 binary64)) |
(*.f64 d (/.f64 (neg.f64 a) c)) |
(*.f64 #s(literal 1 binary64) (/.f64 (*.f64 d (neg.f64 a)) c)) |
(*.f64 (neg.f64 a) (/.f64 d c)) |
(*.f64 (*.f64 d (neg.f64 a)) (/.f64 #s(literal 1 binary64) c)) |
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (neg.f64 (/.f64 c (*.f64 d (neg.f64 a)))))) |
(*.f64 (*.f64 a d) (/.f64 #s(literal 1 binary64) (neg.f64 c))) |
(*.f64 (/.f64 #s(literal 1 binary64) c) (*.f64 d (neg.f64 a))) |
(*.f64 (/.f64 #s(literal 1 binary64) c) (pow.f64 (/.f64 #s(literal -1 binary64) (*.f64 a d)) #s(literal -1 binary64))) |
(*.f64 (/.f64 (neg.f64 a) c) d) |
(*.f64 (*.f64 (*.f64 d (neg.f64 a)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) c)) |
(*.f64 (/.f64 a #s(literal -1 binary64)) (/.f64 d c)) |
(*.f64 (/.f64 d #s(literal -1 binary64)) (/.f64 a c)) |
(*.f64 (/.f64 d #s(literal -1 binary64)) (/.f64 (neg.f64 (neg.f64 a)) c)) |
(*.f64 (/.f64 (neg.f64 a) #s(literal -1 binary64)) (/.f64 (neg.f64 d) c)) |
(*.f64 (/.f64 (neg.f64 (neg.f64 a)) #s(literal -1 binary64)) (/.f64 d c)) |
| 1× | egg-herbie |
| 8 926× | accelerator-lowering-fma.f32 |
| 8 926× | accelerator-lowering-fma.f64 |
| 5 648× | *-lowering-*.f32 |
| 5 648× | *-lowering-*.f64 |
| 2 144× | +-lowering-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 588 | 6721 |
| 1 | 1850 | 6465 |
| 2 | 5650 | 6296 |
| 0 | 8322 | 6084 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(/ (* b d) (+ (pow c 2) (pow d 2))) |
(+ (/ (* a c) (+ (pow c 2) (pow d 2))) (/ (* b d) (+ (pow c 2) (pow d 2)))) |
(+ (/ (* a c) (+ (pow c 2) (pow d 2))) (/ (* b d) (+ (pow c 2) (pow d 2)))) |
(+ (/ (* a c) (+ (pow c 2) (pow d 2))) (/ (* b d) (+ (pow c 2) (pow d 2)))) |
(/ (* a c) (+ (pow c 2) (pow d 2))) |
(* a (+ (/ c (+ (pow c 2) (pow d 2))) (/ (* b d) (* a (+ (pow c 2) (pow d 2)))))) |
(* a (+ (/ c (+ (pow c 2) (pow d 2))) (/ (* b d) (* a (+ (pow c 2) (pow d 2)))))) |
(* a (+ (/ c (+ (pow c 2) (pow d 2))) (/ (* b d) (* a (+ (pow c 2) (pow d 2)))))) |
(/ (* a c) (+ (pow c 2) (pow d 2))) |
(* -1 (* a (+ (* -1 (/ c (+ (pow c 2) (pow d 2)))) (* -1 (/ (* b d) (* a (+ (pow c 2) (pow d 2)))))))) |
(* -1 (* a (+ (* -1 (/ c (+ (pow c 2) (pow d 2)))) (* -1 (/ (* b d) (* a (+ (pow c 2) (pow d 2)))))))) |
(* -1 (* a (+ (* -1 (/ c (+ (pow c 2) (pow d 2)))) (* -1 (/ (* b d) (* a (+ (pow c 2) (pow d 2)))))))) |
(/ b d) |
(+ (/ b d) (/ (* a c) (pow d 2))) |
(+ (* c (+ (* -1 (/ (* b c) (pow d 3))) (/ a (pow d 2)))) (/ b d)) |
(+ (* c (+ (* c (- (* -1 (/ (* a c) (pow d 4))) (/ b (pow d 3)))) (/ a (pow d 2)))) (/ b d)) |
(/ a c) |
(/ (+ a (/ (* b d) c)) c) |
(/ (+ a (+ (* -1 (/ (* a (pow d 2)) (pow c 2))) (/ (* b d) c))) c) |
(/ (- (+ a (+ (* -1 (/ (* b (pow d 3)) (pow c 3))) (/ (* b d) c))) (/ (* a (pow d 2)) (pow c 2))) c) |
(/ a c) |
(* -1 (/ (+ (* -1 a) (* -1 (/ (* b d) c))) c)) |
(* -1 (/ (+ (* -1 a) (* -1 (/ (+ (* -1 (/ (* a (pow d 2)) c)) (* b d)) c))) c)) |
(* -1 (/ (+ (* -1 a) (* -1 (/ (+ (* -1 (/ (+ (* a (pow d 2)) (/ (* b (pow d 3)) c)) c)) (* b d)) c))) c)) |
(/ a c) |
(+ (/ a c) (/ (* b d) (pow c 2))) |
(+ (* d (+ (* -1 (/ (* a d) (pow c 3))) (/ b (pow c 2)))) (/ a c)) |
(+ (* d (+ (* d (- (* -1 (/ (* b d) (pow c 4))) (/ a (pow c 3)))) (/ b (pow c 2)))) (/ a c)) |
(/ b d) |
(/ (+ b (/ (* a c) d)) d) |
(/ (+ b (+ (* -1 (/ (* b (pow c 2)) (pow d 2))) (/ (* a c) d))) d) |
(/ (- (+ b (+ (* -1 (/ (* a (pow c 3)) (pow d 3))) (/ (* a c) d))) (/ (* b (pow c 2)) (pow d 2))) d) |
(/ b d) |
(* -1 (/ (+ (* -1 b) (* -1 (/ (* a c) d))) d)) |
(* -1 (/ (+ (* -1 b) (* -1 (/ (+ (* -1 (/ (* b (pow c 2)) d)) (* a c)) d))) d)) |
(* -1 (/ (+ (* -1 b) (* -1 (/ (+ (* -1 (/ (+ (* b (pow c 2)) (/ (* a (pow c 3)) d)) d)) (* a c)) d))) d)) |
(/ (* a c) (+ (pow c 2) (pow d 2))) |
(+ (/ (* a c) (+ (pow c 2) (pow d 2))) (/ (* b d) (+ (pow c 2) (pow d 2)))) |
(+ (/ (* a c) (+ (pow c 2) (pow d 2))) (/ (* b d) (+ (pow c 2) (pow d 2)))) |
(+ (/ (* a c) (+ (pow c 2) (pow d 2))) (/ (* b d) (+ (pow c 2) (pow d 2)))) |
(/ (* b d) (+ (pow c 2) (pow d 2))) |
(* b (+ (/ d (+ (pow c 2) (pow d 2))) (/ (* a c) (* b (+ (pow c 2) (pow d 2)))))) |
(* b (+ (/ d (+ (pow c 2) (pow d 2))) (/ (* a c) (* b (+ (pow c 2) (pow d 2)))))) |
(* b (+ (/ d (+ (pow c 2) (pow d 2))) (/ (* a c) (* b (+ (pow c 2) (pow d 2)))))) |
(/ (* b d) (+ (pow c 2) (pow d 2))) |
(* -1 (* b (+ (* -1 (/ d (+ (pow c 2) (pow d 2)))) (* -1 (/ (* a c) (* b (+ (pow c 2) (pow d 2)))))))) |
(* -1 (* b (+ (* -1 (/ d (+ (pow c 2) (pow d 2)))) (* -1 (/ (* a c) (* b (+ (pow c 2) (pow d 2)))))))) |
(* -1 (* b (+ (* -1 (/ d (+ (pow c 2) (pow d 2)))) (* -1 (/ (* a c) (* b (+ (pow c 2) (pow d 2)))))))) |
(/ c (pow d 2)) |
(* c (+ (* -1 (/ (pow c 2) (pow d 4))) (/ 1 (pow d 2)))) |
(* c (+ (* (pow c 2) (- (/ (pow c 2) (pow d 6)) (/ 1 (pow d 4)))) (/ 1 (pow d 2)))) |
(* c (+ (* (pow c 2) (- (* (pow c 2) (+ (* -1 (/ (pow c 2) (pow d 8))) (/ 1 (pow d 6)))) (/ 1 (pow d 4)))) (/ 1 (pow d 2)))) |
(/ 1 c) |
(/ (+ 1 (* -1 (/ (pow d 2) (pow c 2)))) c) |
(/ (- (+ 1 (/ (pow d 4) (pow c 4))) (/ (pow d 2) (pow c 2))) c) |
(/ (- (+ 1 (* -1 (/ (pow d 6) (pow c 6)))) (+ (* -1 (/ (pow d 4) (pow c 4))) (/ (pow d 2) (pow c 2)))) c) |
(/ 1 c) |
(* -1 (/ (- (/ (pow d 2) (pow c 2)) 1) c)) |
(* -1 (/ (- (* -1 (/ (pow d 4) (pow c 4))) (+ 1 (* -1 (/ (pow d 2) (pow c 2))))) c)) |
(* -1 (/ (- (/ (pow d 6) (pow c 6)) (+ 1 (+ (* -1 (/ (pow d 2) (pow c 2))) (/ (pow d 4) (pow c 4))))) c)) |
(/ 1 c) |
(+ (* -1 (/ (pow d 2) (pow c 3))) (/ 1 c)) |
(+ (* (pow d 2) (- (/ (pow d 2) (pow c 5)) (/ 1 (pow c 3)))) (/ 1 c)) |
(+ (* (pow d 2) (- (* (pow d 2) (+ (* -1 (/ (pow d 2) (pow c 7))) (/ 1 (pow c 5)))) (/ 1 (pow c 3)))) (/ 1 c)) |
(/ c (pow d 2)) |
(/ (+ c (* -1 (/ (pow c 3) (pow d 2)))) (pow d 2)) |
(/ (- (+ c (/ (pow c 5) (pow d 4))) (/ (pow c 3) (pow d 2))) (pow d 2)) |
(/ (- (+ c (* -1 (/ (pow c 7) (pow d 6)))) (+ (* -1 (/ (pow c 5) (pow d 4))) (/ (pow c 3) (pow d 2)))) (pow d 2)) |
(/ c (pow d 2)) |
(/ (+ c (* -1 (/ (pow c 3) (pow d 2)))) (pow d 2)) |
(/ (- (+ c (/ (pow c 5) (pow d 4))) (/ (pow c 3) (pow d 2))) (pow d 2)) |
(/ (- (+ c (* -1 (/ (pow c 7) (pow d 6)))) (+ (* -1 (/ (pow c 5) (pow d 4))) (/ (pow c 3) (pow d 2)))) (pow d 2)) |
(pow c 2) |
(+ (pow c 2) (pow d 2)) |
(+ (pow c 2) (pow d 2)) |
(+ (pow c 2) (pow d 2)) |
(pow d 2) |
(* (pow d 2) (+ 1 (/ (pow c 2) (pow d 2)))) |
(* (pow d 2) (+ 1 (/ (pow c 2) (pow d 2)))) |
(* (pow d 2) (+ 1 (/ (pow c 2) (pow d 2)))) |
(pow d 2) |
(* (pow d 2) (+ 1 (/ (pow c 2) (pow d 2)))) |
(* (pow d 2) (+ 1 (/ (pow c 2) (pow d 2)))) |
(* (pow d 2) (+ 1 (/ (pow c 2) (pow d 2)))) |
(pow d 2) |
(+ (pow c 2) (pow d 2)) |
(+ (pow c 2) (pow d 2)) |
(+ (pow c 2) (pow d 2)) |
(pow c 2) |
(* (pow c 2) (+ 1 (/ (pow d 2) (pow c 2)))) |
(* (pow c 2) (+ 1 (/ (pow d 2) (pow c 2)))) |
(* (pow c 2) (+ 1 (/ (pow d 2) (pow c 2)))) |
(pow c 2) |
(* (pow c 2) (+ 1 (/ (pow d 2) (pow c 2)))) |
(* (pow c 2) (+ 1 (/ (pow d 2) (pow c 2)))) |
(* (pow c 2) (+ 1 (/ (pow d 2) (pow c 2)))) |
(pow c 2) |
(pow c 2) |
(pow c 2) |
(pow c 2) |
(pow c 2) |
(pow c 2) |
(pow c 2) |
(pow c 2) |
(pow c 2) |
(pow c 2) |
(pow c 2) |
(pow c 2) |
(/ b d) |
(/ b d) |
(/ b d) |
(/ b d) |
(/ b d) |
(/ b d) |
(/ b d) |
(/ b d) |
(/ b d) |
(/ b d) |
(/ b d) |
(/ b d) |
(/ b d) |
(/ b d) |
(/ b d) |
(/ b d) |
(/ b d) |
(/ b d) |
(/ b d) |
(/ b d) |
(/ b d) |
(/ b d) |
(/ b d) |
(/ b d) |
(/ b d) |
(/ b d) |
(/ b d) |
(/ b d) |
(/ b d) |
(/ b d) |
(/ b d) |
(/ b d) |
(/ b d) |
(/ b d) |
(/ b d) |
(/ b d) |
(/ b d) |
(/ b d) |
(/ b d) |
(/ b d) |
(/ b d) |
(/ b d) |
(/ b d) |
(/ b d) |
(/ b d) |
(/ b d) |
(/ b d) |
(/ b d) |
(/ d b) |
(/ d b) |
(/ d b) |
(/ d b) |
(/ d b) |
(/ d b) |
(/ d b) |
(/ d b) |
(/ d b) |
(/ d b) |
(/ d b) |
(/ d b) |
(/ d b) |
(/ d b) |
(/ d b) |
(/ d b) |
(/ d b) |
(/ d b) |
(/ d b) |
(/ d b) |
(/ d b) |
(/ d b) |
(/ d b) |
(/ d b) |
(/ a c) |
(+ (/ a c) (/ (* b d) (pow c 2))) |
(+ (/ a c) (/ (* b d) (pow c 2))) |
(+ (/ a c) (/ (* b d) (pow c 2))) |
(/ (* b d) (pow c 2)) |
(* b (+ (/ a (* b c)) (/ d (pow c 2)))) |
(* b (+ (/ a (* b c)) (/ d (pow c 2)))) |
(* b (+ (/ a (* b c)) (/ d (pow c 2)))) |
(/ (* b d) (pow c 2)) |
(* -1 (* b (+ (* -1 (/ a (* b c))) (* -1 (/ d (pow c 2)))))) |
(* -1 (* b (+ (* -1 (/ a (* b c))) (* -1 (/ d (pow c 2)))))) |
(* -1 (* b (+ (* -1 (/ a (* b c))) (* -1 (/ d (pow c 2)))))) |
(/ a c) |
(+ (/ a c) (/ (* b d) (pow c 2))) |
(+ (/ a c) (/ (* b d) (pow c 2))) |
(+ (/ a c) (/ (* b d) (pow c 2))) |
(/ (* b d) (pow c 2)) |
(* d (+ (/ a (* c d)) (/ b (pow c 2)))) |
(* d (+ (/ a (* c d)) (/ b (pow c 2)))) |
(* d (+ (/ a (* c d)) (/ b (pow c 2)))) |
(/ (* b d) (pow c 2)) |
(* -1 (* d (+ (* -1 (/ a (* c d))) (* -1 (/ b (pow c 2)))))) |
(* -1 (* d (+ (* -1 (/ a (* c d))) (* -1 (/ b (pow c 2)))))) |
(* -1 (* d (+ (* -1 (/ a (* c d))) (* -1 (/ b (pow c 2)))))) |
(/ (* b d) (pow c 2)) |
(/ (+ (* a c) (* b d)) (pow c 2)) |
(/ (+ (* a c) (* b d)) (pow c 2)) |
(/ (+ (* a c) (* b d)) (pow c 2)) |
(/ a c) |
(/ (+ a (/ (* b d) c)) c) |
(/ (+ a (/ (* b d) c)) c) |
(/ (+ a (/ (* b d) c)) c) |
(/ a c) |
(* -1 (/ (+ (* -1 a) (* -1 (/ (* b d) c))) c)) |
(* -1 (/ (+ (* -1 a) (* -1 (/ (* b d) c))) c)) |
(* -1 (/ (+ (* -1 a) (* -1 (/ (* b d) c))) c)) |
(/ (* b d) (pow c 2)) |
(+ (/ a c) (/ (* b d) (pow c 2))) |
(+ (/ a c) (/ (* b d) (pow c 2))) |
(+ (/ a c) (/ (* b d) (pow c 2))) |
(/ a c) |
(* a (+ (/ 1 c) (/ (* b d) (* a (pow c 2))))) |
(* a (+ (/ 1 c) (/ (* b d) (* a (pow c 2))))) |
(* a (+ (/ 1 c) (/ (* b d) (* a (pow c 2))))) |
(/ a c) |
(* -1 (* a (- (* -1 (/ (* b d) (* a (pow c 2)))) (/ 1 c)))) |
(* -1 (* a (- (* -1 (/ (* b d) (* a (pow c 2)))) (/ 1 c)))) |
(* -1 (* a (- (* -1 (/ (* b d) (* a (pow c 2)))) (/ 1 c)))) |
a |
(+ a (/ (* b d) c)) |
(+ a (/ (* b d) c)) |
(+ a (/ (* b d) c)) |
(/ (* b d) c) |
(* b (+ (/ a b) (/ d c))) |
(* b (+ (/ a b) (/ d c))) |
(* b (+ (/ a b) (/ d c))) |
(/ (* b d) c) |
(* -1 (* b (+ (* -1 (/ a b)) (* -1 (/ d c))))) |
(* -1 (* b (+ (* -1 (/ a b)) (* -1 (/ d c))))) |
(* -1 (* b (+ (* -1 (/ a b)) (* -1 (/ d c))))) |
a |
(+ a (/ (* b d) c)) |
(+ a (/ (* b d) c)) |
(+ a (/ (* b d) c)) |
(/ (* b d) c) |
(* d (+ (/ a d) (/ b c))) |
(* d (+ (/ a d) (/ b c))) |
(* d (+ (/ a d) (/ b c))) |
(/ (* b d) c) |
(* -1 (* d (+ (* -1 (/ a d)) (* -1 (/ b c))))) |
(* -1 (* d (+ (* -1 (/ a d)) (* -1 (/ b c))))) |
(* -1 (* d (+ (* -1 (/ a d)) (* -1 (/ b c))))) |
(/ (* b d) c) |
(/ (+ (* a c) (* b d)) c) |
(/ (+ (* a c) (* b d)) c) |
(/ (+ (* a c) (* b d)) c) |
a |
(+ a (/ (* b d) c)) |
(+ a (/ (* b d) c)) |
(+ a (/ (* b d) c)) |
a |
(+ a (/ (* b d) c)) |
(+ a (/ (* b d) c)) |
(+ a (/ (* b d) c)) |
(/ (* b d) c) |
(+ a (/ (* b d) c)) |
(+ a (/ (* b d) c)) |
(+ a (/ (* b d) c)) |
a |
(* a (+ 1 (/ (* b d) (* a c)))) |
(* a (+ 1 (/ (* b d) (* a c)))) |
(* a (+ 1 (/ (* b d) (* a c)))) |
a |
(* -1 (* a (- (* -1 (/ (* b d) (* a c))) 1))) |
(* -1 (* a (- (* -1 (/ (* b d) (* a c))) 1))) |
(* -1 (* a (- (* -1 (/ (* b d) (* a c))) 1))) |
(/ d c) |
(/ d c) |
(/ d c) |
(/ d c) |
(/ d c) |
(/ d c) |
(/ d c) |
(/ d c) |
(/ d c) |
(/ d c) |
(/ d c) |
(/ d c) |
(/ d c) |
(/ d c) |
(/ d c) |
(/ d c) |
(/ d c) |
(/ d c) |
(/ d c) |
(/ d c) |
(/ d c) |
(/ d c) |
(/ d c) |
(/ d c) |
(* b d) |
(* d (+ b (* -1 (/ (* a d) c)))) |
(* d (+ b (* -1 (/ (* a d) c)))) |
(* d (+ b (* -1 (/ (* a d) c)))) |
(* -1 (/ (* a (pow d 2)) c)) |
(* (pow d 2) (+ (* -1 (/ a c)) (/ b d))) |
(* (pow d 2) (+ (* -1 (/ a c)) (/ b d))) |
(* (pow d 2) (+ (* -1 (/ a c)) (/ b d))) |
(* -1 (/ (* a (pow d 2)) c)) |
(* (pow d 2) (+ (* -1 (/ a c)) (/ b d))) |
(* (pow d 2) (+ (* -1 (/ a c)) (/ b d))) |
(* (pow d 2) (+ (* -1 (/ a c)) (/ b d))) |
(* b d) |
(+ (* -1 (/ (* a (pow d 2)) c)) (* b d)) |
(+ (* -1 (/ (* a (pow d 2)) c)) (* b d)) |
(+ (* -1 (/ (* a (pow d 2)) c)) (* b d)) |
(* -1 (/ (* a (pow d 2)) c)) |
(* a (+ (* -1 (/ (pow d 2) c)) (/ (* b d) a))) |
(* a (+ (* -1 (/ (pow d 2) c)) (/ (* b d) a))) |
(* a (+ (* -1 (/ (pow d 2) c)) (/ (* b d) a))) |
(* -1 (/ (* a (pow d 2)) c)) |
(* -1 (* a (+ (* -1 (/ (* b d) a)) (/ (pow d 2) c)))) |
(* -1 (* a (+ (* -1 (/ (* b d) a)) (/ (pow d 2) c)))) |
(* -1 (* a (+ (* -1 (/ (* b d) a)) (/ (pow d 2) c)))) |
(* -1 (/ (* a (pow d 2)) c)) |
(/ (+ (* -1 (* a (pow d 2))) (* b (* c d))) c) |
(/ (+ (* -1 (* a (pow d 2))) (* b (* c d))) c) |
(/ (+ (* -1 (* a (pow d 2))) (* b (* c d))) c) |
(* b d) |
(+ (* -1 (/ (* a (pow d 2)) c)) (* b d)) |
(+ (* -1 (/ (* a (pow d 2)) c)) (* b d)) |
(+ (* -1 (/ (* a (pow d 2)) c)) (* b d)) |
(* b d) |
(+ (* -1 (/ (* a (pow d 2)) c)) (* b d)) |
(+ (* -1 (/ (* a (pow d 2)) c)) (* b d)) |
(+ (* -1 (/ (* a (pow d 2)) c)) (* b d)) |
(* -1 (/ (* a (pow d 2)) c)) |
(+ (* -1 (/ (* a (pow d 2)) c)) (* b d)) |
(+ (* -1 (/ (* a (pow d 2)) c)) (* b d)) |
(+ (* -1 (/ (* a (pow d 2)) c)) (* b d)) |
(* b d) |
(* b (+ d (* -1 (/ (* a (pow d 2)) (* b c))))) |
(* b (+ d (* -1 (/ (* a (pow d 2)) (* b c))))) |
(* b (+ d (* -1 (/ (* a (pow d 2)) (* b c))))) |
(* b d) |
(* -1 (* b (+ (* -1 d) (/ (* a (pow d 2)) (* b c))))) |
(* -1 (* b (+ (* -1 d) (/ (* a (pow d 2)) (* b c))))) |
(* -1 (* b (+ (* -1 d) (/ (* a (pow d 2)) (* b c))))) |
(/ (* b d) c) |
(+ (* a (+ 1 (* -1 (/ (pow d 2) (pow c 2))))) (/ (* b d) c)) |
(+ (* a (+ 1 (* -1 (/ (pow d 2) (pow c 2))))) (/ (* b d) c)) |
(+ (* a (+ 1 (* -1 (/ (pow d 2) (pow c 2))))) (/ (* b d) c)) |
(* a (+ 1 (* -1 (/ (pow d 2) (pow c 2))))) |
(* a (+ 1 (+ (* -1 (/ (pow d 2) (pow c 2))) (/ (* b d) (* a c))))) |
(* a (+ 1 (+ (* -1 (/ (pow d 2) (pow c 2))) (/ (* b d) (* a c))))) |
(* a (+ 1 (+ (* -1 (/ (pow d 2) (pow c 2))) (/ (* b d) (* a c))))) |
(* -1 (* a (- (/ (pow d 2) (pow c 2)) 1))) |
(* -1 (* a (- (+ (* -1 (/ (* b d) (* a c))) (/ (pow d 2) (pow c 2))) 1))) |
(* -1 (* a (- (+ (* -1 (/ (* b d) (* a c))) (/ (pow d 2) (pow c 2))) 1))) |
(* -1 (* a (- (+ (* -1 (/ (* b d) (* a c))) (/ (pow d 2) (pow c 2))) 1))) |
a |
(+ a (/ (* b d) c)) |
(+ a (* d (+ (* -1 (/ (* a d) (pow c 2))) (/ b c)))) |
(+ a (* d (+ (* -1 (/ (* a d) (pow c 2))) (/ b c)))) |
(* -1 (/ (* a (pow d 2)) (pow c 2))) |
(* (pow d 2) (+ (* -1 (/ a (pow c 2))) (/ b (* c d)))) |
(* (pow d 2) (+ (* -1 (/ a (pow c 2))) (+ (/ a (pow d 2)) (/ b (* c d))))) |
(* (pow d 2) (+ (* -1 (/ a (pow c 2))) (+ (/ a (pow d 2)) (/ b (* c d))))) |
(* -1 (/ (* a (pow d 2)) (pow c 2))) |
(* (pow d 2) (+ (* -1 (/ a (pow c 2))) (/ b (* c d)))) |
(* (pow d 2) (+ (* -1 (/ a (pow c 2))) (* -1 (/ (+ (* -1 (/ a d)) (* -1 (/ b c))) d)))) |
(* (pow d 2) (+ (* -1 (/ a (pow c 2))) (* -1 (/ (+ (* -1 (/ a d)) (* -1 (/ b c))) d)))) |
(* -1 (/ (* a (pow d 2)) (pow c 2))) |
(/ (+ (* -1 (* a (pow d 2))) (* b (* c d))) (pow c 2)) |
(/ (+ (* -1 (* a (pow d 2))) (* c (+ (* a c) (* b d)))) (pow c 2)) |
(/ (+ (* -1 (* a (pow d 2))) (* c (+ (* a c) (* b d)))) (pow c 2)) |
a |
(+ a (/ (* b d) c)) |
(+ a (+ (* -1 (/ (* a (pow d 2)) (pow c 2))) (/ (* b d) c))) |
(+ a (+ (* -1 (/ (* a (pow d 2)) (pow c 2))) (/ (* b d) c))) |
a |
(+ a (/ (* b d) c)) |
(+ a (* -1 (/ (+ (* -1 (* b d)) (/ (* a (pow d 2)) c)) c))) |
(+ a (* -1 (/ (+ (* -1 (* b d)) (/ (* a (pow d 2)) c)) c))) |
(+ a (* -1 (/ (* a (pow d 2)) (pow c 2)))) |
(+ a (+ (* -1 (/ (* a (pow d 2)) (pow c 2))) (/ (* b d) c))) |
(+ a (+ (* -1 (/ (* a (pow d 2)) (pow c 2))) (/ (* b d) c))) |
(+ a (+ (* -1 (/ (* a (pow d 2)) (pow c 2))) (/ (* b d) c))) |
(/ (* b d) c) |
(* b (+ (* -1 (/ (* a (pow d 2)) (* b (pow c 2)))) (+ (/ a b) (/ d c)))) |
(* b (+ (* -1 (/ (* a (pow d 2)) (* b (pow c 2)))) (+ (/ a b) (/ d c)))) |
(* b (+ (* -1 (/ (* a (pow d 2)) (* b (pow c 2)))) (+ (/ a b) (/ d c)))) |
(/ (* b d) c) |
(* -1 (* b (+ (* -1 (/ d c)) (* -1 (/ (+ a (* -1 (/ (* a (pow d 2)) (pow c 2)))) b))))) |
(* -1 (* b (+ (* -1 (/ d c)) (* -1 (/ (+ a (* -1 (/ (* a (pow d 2)) (pow c 2)))) b))))) |
(* -1 (* b (+ (* -1 (/ d c)) (* -1 (/ (+ a (* -1 (/ (* a (pow d 2)) (pow c 2)))) b))))) |
(/ (* b d) (pow c 2)) |
(+ (* a (+ (* -1 (/ (pow d 2) (pow c 3))) (/ 1 c))) (/ (* b d) (pow c 2))) |
(+ (* a (+ (* -1 (/ (pow d 2) (pow c 3))) (/ 1 c))) (/ (* b d) (pow c 2))) |
(+ (* a (+ (* -1 (/ (pow d 2) (pow c 3))) (/ 1 c))) (/ (* b d) (pow c 2))) |
(/ (* a (+ 1 (* -1 (/ (pow d 2) (pow c 2))))) c) |
(* a (+ (* -1 (/ (pow d 2) (pow c 3))) (+ (/ 1 c) (/ (* b d) (* a (pow c 2)))))) |
(* a (+ (* -1 (/ (pow d 2) (pow c 3))) (+ (/ 1 c) (/ (* b d) (* a (pow c 2)))))) |
(* a (+ (* -1 (/ (pow d 2) (pow c 3))) (+ (/ 1 c) (/ (* b d) (* a (pow c 2)))))) |
(* -1 (/ (* a (- (/ (pow d 2) (pow c 2)) 1)) c)) |
(* -1 (* a (- (+ (* -1 (/ (* b d) (* a (pow c 2)))) (/ (pow d 2) (pow c 3))) (/ 1 c)))) |
(* -1 (* a (- (+ (* -1 (/ (* b d) (* a (pow c 2)))) (/ (pow d 2) (pow c 3))) (/ 1 c)))) |
(* -1 (* a (- (+ (* -1 (/ (* b d) (* a (pow c 2)))) (/ (pow d 2) (pow c 3))) (/ 1 c)))) |
(/ a c) |
(+ (/ a c) (/ (* b d) (pow c 2))) |
(+ (* d (+ (* -1 (/ (* a d) (pow c 3))) (/ b (pow c 2)))) (/ a c)) |
(+ (* d (+ (* -1 (/ (* a d) (pow c 3))) (/ b (pow c 2)))) (/ a c)) |
(* -1 (/ (* a (pow d 2)) (pow c 3))) |
(* (pow d 2) (+ (* -1 (/ a (pow c 3))) (/ b (* (pow c 2) d)))) |
(* (pow d 2) (+ (* -1 (/ a (pow c 3))) (+ (/ a (* c (pow d 2))) (/ b (* (pow c 2) d))))) |
(* (pow d 2) (+ (* -1 (/ a (pow c 3))) (+ (/ a (* c (pow d 2))) (/ b (* (pow c 2) d))))) |
(* -1 (/ (* a (pow d 2)) (pow c 3))) |
(* (pow d 2) (+ (* -1 (/ a (pow c 3))) (/ b (* (pow c 2) d)))) |
(* (pow d 2) (+ (* -1 (/ a (pow c 3))) (* -1 (/ (+ (* -1 (/ a (* c d))) (* -1 (/ b (pow c 2)))) d)))) |
(* (pow d 2) (+ (* -1 (/ a (pow c 3))) (* -1 (/ (+ (* -1 (/ a (* c d))) (* -1 (/ b (pow c 2)))) d)))) |
(* -1 (/ (* a (pow d 2)) (pow c 3))) |
(/ (+ (* -1 (* a (pow d 2))) (* b (* c d))) (pow c 3)) |
(/ (+ (* -1 (* a (pow d 2))) (* c (+ (* a c) (* b d)))) (pow c 3)) |
(/ (+ (* -1 (* a (pow d 2))) (* c (+ (* a c) (* b d)))) (pow c 3)) |
(/ a c) |
(/ (+ a (/ (* b d) c)) c) |
(/ (+ a (+ (* -1 (/ (* a (pow d 2)) (pow c 2))) (/ (* b d) c))) c) |
(/ (+ a (+ (* -1 (/ (* a (pow d 2)) (pow c 2))) (/ (* b d) c))) c) |
(/ a c) |
(* -1 (/ (+ (* -1 a) (* -1 (/ (* b d) c))) c)) |
(* -1 (/ (+ (* -1 a) (* -1 (/ (+ (* -1 (/ (* a (pow d 2)) c)) (* b d)) c))) c)) |
(* -1 (/ (+ (* -1 a) (* -1 (/ (+ (* -1 (/ (* a (pow d 2)) c)) (* b d)) c))) c)) |
(/ (+ a (* -1 (/ (* a (pow d 2)) (pow c 2)))) c) |
(+ (* -1 (/ (* a (pow d 2)) (pow c 3))) (+ (/ a c) (/ (* b d) (pow c 2)))) |
(+ (* -1 (/ (* a (pow d 2)) (pow c 3))) (+ (/ a c) (/ (* b d) (pow c 2)))) |
(+ (* -1 (/ (* a (pow d 2)) (pow c 3))) (+ (/ a c) (/ (* b d) (pow c 2)))) |
(/ (* b d) (pow c 2)) |
(* b (+ (* -1 (/ (* a (pow d 2)) (* b (pow c 3)))) (+ (/ a (* b c)) (/ d (pow c 2))))) |
(* b (+ (* -1 (/ (* a (pow d 2)) (* b (pow c 3)))) (+ (/ a (* b c)) (/ d (pow c 2))))) |
(* b (+ (* -1 (/ (* a (pow d 2)) (* b (pow c 3)))) (+ (/ a (* b c)) (/ d (pow c 2))))) |
(/ (* b d) (pow c 2)) |
(* -1 (* b (+ (* -1 (/ d (pow c 2))) (* -1 (/ (+ (* -1 (/ (* a (pow d 2)) (pow c 3))) (/ a c)) b))))) |
(* -1 (* b (+ (* -1 (/ d (pow c 2))) (* -1 (/ (+ (* -1 (/ (* a (pow d 2)) (pow c 3))) (/ a c)) b))))) |
(* -1 (* b (+ (* -1 (/ d (pow c 2))) (* -1 (/ (+ (* -1 (/ (* a (pow d 2)) (pow c 3))) (/ a c)) b))))) |
(/ (* b d) c) |
(* d (+ (* -1 (/ (* a d) (pow c 2))) (/ b c))) |
(* d (+ (* -1 (/ (* a d) (pow c 2))) (/ b c))) |
(* d (+ (* -1 (/ (* a d) (pow c 2))) (/ b c))) |
(* -1 (/ (* a (pow d 2)) (pow c 2))) |
(* (pow d 2) (+ (* -1 (/ a (pow c 2))) (/ b (* c d)))) |
(* (pow d 2) (+ (* -1 (/ a (pow c 2))) (/ b (* c d)))) |
(* (pow d 2) (+ (* -1 (/ a (pow c 2))) (/ b (* c d)))) |
(* -1 (/ (* a (pow d 2)) (pow c 2))) |
(* (pow d 2) (+ (* -1 (/ a (pow c 2))) (/ b (* c d)))) |
(* (pow d 2) (+ (* -1 (/ a (pow c 2))) (/ b (* c d)))) |
(* (pow d 2) (+ (* -1 (/ a (pow c 2))) (/ b (* c d)))) |
(/ (* b d) c) |
(+ (* -1 (/ (* a (pow d 2)) (pow c 2))) (/ (* b d) c)) |
(+ (* -1 (/ (* a (pow d 2)) (pow c 2))) (/ (* b d) c)) |
(+ (* -1 (/ (* a (pow d 2)) (pow c 2))) (/ (* b d) c)) |
(* -1 (/ (* a (pow d 2)) (pow c 2))) |
(* a (+ (* -1 (/ (pow d 2) (pow c 2))) (/ (* b d) (* a c)))) |
(* a (+ (* -1 (/ (pow d 2) (pow c 2))) (/ (* b d) (* a c)))) |
(* a (+ (* -1 (/ (pow d 2) (pow c 2))) (/ (* b d) (* a c)))) |
(* -1 (/ (* a (pow d 2)) (pow c 2))) |
(* -1 (* a (+ (* -1 (/ (* b d) (* a c))) (/ (pow d 2) (pow c 2))))) |
(* -1 (* a (+ (* -1 (/ (* b d) (* a c))) (/ (pow d 2) (pow c 2))))) |
(* -1 (* a (+ (* -1 (/ (* b d) (* a c))) (/ (pow d 2) (pow c 2))))) |
(* -1 (/ (* a (pow d 2)) (pow c 2))) |
(/ (+ (* -1 (* a (pow d 2))) (* b (* c d))) (pow c 2)) |
(/ (+ (* -1 (* a (pow d 2))) (* b (* c d))) (pow c 2)) |
(/ (+ (* -1 (* a (pow d 2))) (* b (* c d))) (pow c 2)) |
(/ (* b d) c) |
(/ (+ (* -1 (/ (* a (pow d 2)) c)) (* b d)) c) |
(/ (+ (* -1 (/ (* a (pow d 2)) c)) (* b d)) c) |
(/ (+ (* -1 (/ (* a (pow d 2)) c)) (* b d)) c) |
(/ (* b d) c) |
(* -1 (/ (+ (* -1 (* b d)) (/ (* a (pow d 2)) c)) c)) |
(* -1 (/ (+ (* -1 (* b d)) (/ (* a (pow d 2)) c)) c)) |
(* -1 (/ (+ (* -1 (* b d)) (/ (* a (pow d 2)) c)) c)) |
(* -1 (/ (* a (pow d 2)) (pow c 2))) |
(+ (* -1 (/ (* a (pow d 2)) (pow c 2))) (/ (* b d) c)) |
(+ (* -1 (/ (* a (pow d 2)) (pow c 2))) (/ (* b d) c)) |
(+ (* -1 (/ (* a (pow d 2)) (pow c 2))) (/ (* b d) c)) |
(/ (* b d) c) |
(* b (+ (* -1 (/ (* a (pow d 2)) (* b (pow c 2)))) (/ d c))) |
(* b (+ (* -1 (/ (* a (pow d 2)) (* b (pow c 2)))) (/ d c))) |
(* b (+ (* -1 (/ (* a (pow d 2)) (* b (pow c 2)))) (/ d c))) |
(/ (* b d) c) |
(* -1 (* b (+ (* -1 (/ d c)) (/ (* a (pow d 2)) (* b (pow c 2)))))) |
(* -1 (* b (+ (* -1 (/ d c)) (/ (* a (pow d 2)) (* b (pow c 2)))))) |
(* -1 (* b (+ (* -1 (/ d c)) (/ (* a (pow d 2)) (* b (pow c 2)))))) |
(/ d (pow c 2)) |
(* d (+ (* -1 (/ (pow d 2) (pow c 4))) (/ 1 (pow c 2)))) |
(* d (+ (* (pow d 2) (- (/ (pow d 2) (pow c 6)) (/ 1 (pow c 4)))) (/ 1 (pow c 2)))) |
(* d (+ (* (pow d 2) (- (* (pow d 2) (+ (* -1 (/ (pow d 2) (pow c 8))) (/ 1 (pow c 6)))) (/ 1 (pow c 4)))) (/ 1 (pow c 2)))) |
(/ 1 d) |
(/ (+ 1 (* -1 (/ (pow c 2) (pow d 2)))) d) |
(/ (- (+ 1 (/ (pow c 4) (pow d 4))) (/ (pow c 2) (pow d 2))) d) |
(/ (- (+ 1 (* -1 (/ (pow c 6) (pow d 6)))) (+ (* -1 (/ (pow c 4) (pow d 4))) (/ (pow c 2) (pow d 2)))) d) |
(/ 1 d) |
(* -1 (/ (- (/ (pow c 2) (pow d 2)) 1) d)) |
(* -1 (/ (- (* -1 (/ (pow c 4) (pow d 4))) (+ 1 (* -1 (/ (pow c 2) (pow d 2))))) d)) |
(* -1 (/ (- (/ (pow c 6) (pow d 6)) (+ 1 (+ (* -1 (/ (pow c 2) (pow d 2))) (/ (pow c 4) (pow d 4))))) d)) |
(/ 1 d) |
(+ (* -1 (/ (pow c 2) (pow d 3))) (/ 1 d)) |
(+ (* (pow c 2) (- (/ (pow c 2) (pow d 5)) (/ 1 (pow d 3)))) (/ 1 d)) |
(+ (* (pow c 2) (- (* (pow c 2) (+ (* -1 (/ (pow c 2) (pow d 7))) (/ 1 (pow d 5)))) (/ 1 (pow d 3)))) (/ 1 d)) |
(/ d (pow c 2)) |
(/ (+ d (* -1 (/ (pow d 3) (pow c 2)))) (pow c 2)) |
(/ (- (+ d (/ (pow d 5) (pow c 4))) (/ (pow d 3) (pow c 2))) (pow c 2)) |
(/ (- (+ d (* -1 (/ (pow d 7) (pow c 6)))) (+ (* -1 (/ (pow d 5) (pow c 4))) (/ (pow d 3) (pow c 2)))) (pow c 2)) |
(/ d (pow c 2)) |
(/ (+ d (* -1 (/ (pow d 3) (pow c 2)))) (pow c 2)) |
(/ (- (+ d (/ (pow d 5) (pow c 4))) (/ (pow d 3) (pow c 2))) (pow c 2)) |
(/ (- (+ d (* -1 (/ (pow d 7) (pow c 6)))) (+ (* -1 (/ (pow d 5) (pow c 4))) (/ (pow d 3) (pow c 2)))) (pow c 2)) |
(/ (* b d) (+ (pow c 2) (pow d 2))) |
(/ (* b d) (+ (pow c 2) (pow d 2))) |
(/ (* b d) (+ (pow c 2) (pow d 2))) |
(/ (* b d) (+ (pow c 2) (pow d 2))) |
(/ (* b d) (+ (pow c 2) (pow d 2))) |
(/ (* b d) (+ (pow c 2) (pow d 2))) |
(/ (* b d) (+ (pow c 2) (pow d 2))) |
(/ (* b d) (+ (pow c 2) (pow d 2))) |
(/ (* b d) (+ (pow c 2) (pow d 2))) |
(/ (* b d) (+ (pow c 2) (pow d 2))) |
(/ (* b d) (+ (pow c 2) (pow d 2))) |
(/ (* b d) (+ (pow c 2) (pow d 2))) |
(/ (* b d) (pow c 2)) |
(* d (+ (* -1 (/ (* b (pow d 2)) (pow c 4))) (/ b (pow c 2)))) |
(* d (+ (* (pow d 2) (- (/ (* b (pow d 2)) (pow c 6)) (/ b (pow c 4)))) (/ b (pow c 2)))) |
(* d (+ (* (pow d 2) (- (* (pow d 2) (- (* -1 (/ (* b (pow d 2)) (pow c 8))) (* -1 (/ b (pow c 6))))) (/ b (pow c 4)))) (/ b (pow c 2)))) |
(/ b d) |
(/ (+ b (* -1 (/ (* b (pow c 2)) (pow d 2)))) d) |
(/ (- (+ b (/ (* b (pow c 4)) (pow d 4))) (/ (* b (pow c 2)) (pow d 2))) d) |
(/ (- (+ b (* -1 (/ (* b (pow c 6)) (pow d 6)))) (+ (* -1 (/ (* b (pow c 4)) (pow d 4))) (/ (* b (pow c 2)) (pow d 2)))) d) |
(/ b d) |
(* -1 (/ (+ (* -1 b) (/ (* b (pow c 2)) (pow d 2))) d)) |
(* -1 (/ (+ (* -1 b) (+ (* -1 (/ (* b (pow c 4)) (pow d 4))) (/ (* b (pow c 2)) (pow d 2)))) d)) |
(* -1 (/ (+ (* -1 b) (+ (* -1 (/ (* b (pow c 4)) (pow d 4))) (+ (/ (* b (pow c 2)) (pow d 2)) (/ (* b (pow c 6)) (pow d 6))))) d)) |
(/ b d) |
(+ (* -1 (/ (* b (pow c 2)) (pow d 3))) (/ b d)) |
(+ (* (pow c 2) (- (/ (* b (pow c 2)) (pow d 5)) (/ b (pow d 3)))) (/ b d)) |
(+ (* (pow c 2) (- (* (pow c 2) (- (* -1 (/ (* b (pow c 2)) (pow d 7))) (* -1 (/ b (pow d 5))))) (/ b (pow d 3)))) (/ b d)) |
(/ (* b d) (pow c 2)) |
(/ (+ (* -1 (/ (* b (pow d 3)) (pow c 2))) (* b d)) (pow c 2)) |
(/ (- (+ (* b d) (/ (* b (pow d 5)) (pow c 4))) (/ (* b (pow d 3)) (pow c 2))) (pow c 2)) |
(/ (- (+ (* -1 (/ (* b (pow d 7)) (pow c 6))) (* b d)) (+ (* -1 (/ (* b (pow d 5)) (pow c 4))) (/ (* b (pow d 3)) (pow c 2)))) (pow c 2)) |
(/ (* b d) (pow c 2)) |
(/ (+ (* -1 (/ (* b (pow d 3)) (pow c 2))) (* b d)) (pow c 2)) |
(/ (- (+ (* b d) (/ (* b (pow d 5)) (pow c 4))) (/ (* b (pow d 3)) (pow c 2))) (pow c 2)) |
(/ (- (+ (* -1 (/ (* b (pow d 7)) (pow c 6))) (* b d)) (+ (* -1 (/ (* b (pow d 5)) (pow c 4))) (/ (* b (pow d 3)) (pow c 2)))) (pow c 2)) |
(* -1 (/ (* a d) c)) |
(* -1 (/ (* a d) c)) |
(* -1 (/ (* a d) c)) |
(* -1 (/ (* a d) c)) |
(* -1 (/ (* a d) c)) |
(* -1 (/ (* a d) c)) |
(* -1 (/ (* a d) c)) |
(* -1 (/ (* a d) c)) |
(* -1 (/ (* a d) c)) |
(* -1 (/ (* a d) c)) |
(* -1 (/ (* a d) c)) |
(* -1 (/ (* a d) c)) |
(* -1 (/ (* a d) c)) |
(* -1 (/ (* a d) c)) |
(* -1 (/ (* a d) c)) |
(* -1 (/ (* a d) c)) |
(* -1 (/ (* a d) c)) |
(* -1 (/ (* a d) c)) |
(* -1 (/ (* a d) c)) |
(* -1 (/ (* a d) c)) |
(* -1 (/ (* a d) c)) |
(* -1 (/ (* a d) c)) |
(* -1 (/ (* a d) c)) |
(* -1 (/ (* a d) c)) |
(* -1 (/ (* a d) c)) |
(* -1 (/ (* a d) c)) |
(* -1 (/ (* a d) c)) |
(* -1 (/ (* a d) c)) |
(* -1 (/ (* a d) c)) |
(* -1 (/ (* a d) c)) |
(* -1 (/ (* a d) c)) |
(* -1 (/ (* a d) c)) |
(* -1 (/ (* a d) c)) |
(* -1 (/ (* a d) c)) |
(* -1 (/ (* a d) c)) |
(* -1 (/ (* a d) c)) |
| Outputs |
|---|
(/ (* b d) (+ (pow c 2) (pow d 2))) |
(*.f64 b (/.f64 d (fma.f64 d d (*.f64 c c)))) |
(+ (/ (* a c) (+ (pow c 2) (pow d 2))) (/ (* b d) (+ (pow c 2) (pow d 2)))) |
(fma.f64 b (/.f64 d (fma.f64 d d (*.f64 c c))) (*.f64 c (/.f64 a (fma.f64 d d (*.f64 c c))))) |
(+ (/ (* a c) (+ (pow c 2) (pow d 2))) (/ (* b d) (+ (pow c 2) (pow d 2)))) |
(fma.f64 b (/.f64 d (fma.f64 d d (*.f64 c c))) (*.f64 c (/.f64 a (fma.f64 d d (*.f64 c c))))) |
(+ (/ (* a c) (+ (pow c 2) (pow d 2))) (/ (* b d) (+ (pow c 2) (pow d 2)))) |
(fma.f64 b (/.f64 d (fma.f64 d d (*.f64 c c))) (*.f64 c (/.f64 a (fma.f64 d d (*.f64 c c))))) |
(/ (* a c) (+ (pow c 2) (pow d 2))) |
(*.f64 c (/.f64 a (fma.f64 d d (*.f64 c c)))) |
(* a (+ (/ c (+ (pow c 2) (pow d 2))) (/ (* b d) (* a (+ (pow c 2) (pow d 2)))))) |
(*.f64 a (fma.f64 b (/.f64 d (*.f64 (fma.f64 d d (*.f64 c c)) a)) (/.f64 c (fma.f64 d d (*.f64 c c))))) |
(* a (+ (/ c (+ (pow c 2) (pow d 2))) (/ (* b d) (* a (+ (pow c 2) (pow d 2)))))) |
(*.f64 a (fma.f64 b (/.f64 d (*.f64 (fma.f64 d d (*.f64 c c)) a)) (/.f64 c (fma.f64 d d (*.f64 c c))))) |
(* a (+ (/ c (+ (pow c 2) (pow d 2))) (/ (* b d) (* a (+ (pow c 2) (pow d 2)))))) |
(*.f64 a (fma.f64 b (/.f64 d (*.f64 (fma.f64 d d (*.f64 c c)) a)) (/.f64 c (fma.f64 d d (*.f64 c c))))) |
(/ (* a c) (+ (pow c 2) (pow d 2))) |
(*.f64 c (/.f64 a (fma.f64 d d (*.f64 c c)))) |
(* -1 (* a (+ (* -1 (/ c (+ (pow c 2) (pow d 2)))) (* -1 (/ (* b d) (* a (+ (pow c 2) (pow d 2)))))))) |
(*.f64 a (fma.f64 b (/.f64 d (*.f64 (fma.f64 d d (*.f64 c c)) a)) (/.f64 c (fma.f64 d d (*.f64 c c))))) |
(* -1 (* a (+ (* -1 (/ c (+ (pow c 2) (pow d 2)))) (* -1 (/ (* b d) (* a (+ (pow c 2) (pow d 2)))))))) |
(*.f64 a (fma.f64 b (/.f64 d (*.f64 (fma.f64 d d (*.f64 c c)) a)) (/.f64 c (fma.f64 d d (*.f64 c c))))) |
(* -1 (* a (+ (* -1 (/ c (+ (pow c 2) (pow d 2)))) (* -1 (/ (* b d) (* a (+ (pow c 2) (pow d 2)))))))) |
(*.f64 a (fma.f64 b (/.f64 d (*.f64 (fma.f64 d d (*.f64 c c)) a)) (/.f64 c (fma.f64 d d (*.f64 c c))))) |
(/ b d) |
(/.f64 b d) |
(+ (/ b d) (/ (* a c) (pow d 2))) |
(fma.f64 c (/.f64 a (*.f64 d d)) (/.f64 b d)) |
(+ (* c (+ (* -1 (/ (* b c) (pow d 3))) (/ a (pow d 2)))) (/ b d)) |
(fma.f64 c (fma.f64 c (/.f64 b (*.f64 d (*.f64 d (neg.f64 d)))) (/.f64 a (*.f64 d d))) (/.f64 b d)) |
(+ (* c (+ (* c (- (* -1 (/ (* a c) (pow d 4))) (/ b (pow d 3)))) (/ a (pow d 2)))) (/ b d)) |
(fma.f64 c (fma.f64 c (neg.f64 (fma.f64 a (/.f64 c (*.f64 (*.f64 d d) (*.f64 d d))) (/.f64 b (*.f64 d (*.f64 d d))))) (/.f64 a (*.f64 d d))) (/.f64 b d)) |
(/ a c) |
(/.f64 a c) |
(/ (+ a (/ (* b d) c)) c) |
(/.f64 (fma.f64 b (/.f64 d c) a) c) |
(/ (+ a (+ (* -1 (/ (* a (pow d 2)) (pow c 2))) (/ (* b d) c))) c) |
(/.f64 (+.f64 a (/.f64 (*.f64 d (-.f64 b (*.f64 d (/.f64 a c)))) c)) c) |
(/ (- (+ a (+ (* -1 (/ (* b (pow d 3)) (pow c 3))) (/ (* b d) c))) (/ (* a (pow d 2)) (pow c 2))) c) |
(/.f64 (+.f64 (-.f64 a (/.f64 (*.f64 b (*.f64 d (*.f64 d d))) (*.f64 c (*.f64 c c)))) (/.f64 (*.f64 d (-.f64 b (*.f64 d (/.f64 a c)))) c)) c) |
(/ a c) |
(/.f64 a c) |
(* -1 (/ (+ (* -1 a) (* -1 (/ (* b d) c))) c)) |
(/.f64 (fma.f64 b (/.f64 d c) a) c) |
(* -1 (/ (+ (* -1 a) (* -1 (/ (+ (* -1 (/ (* a (pow d 2)) c)) (* b d)) c))) c)) |
(/.f64 (+.f64 a (/.f64 (*.f64 d (-.f64 b (*.f64 d (/.f64 a c)))) c)) c) |
(* -1 (/ (+ (* -1 a) (* -1 (/ (+ (* -1 (/ (+ (* a (pow d 2)) (/ (* b (pow d 3)) c)) c)) (* b d)) c))) c)) |
(/.f64 (+.f64 a (/.f64 (-.f64 (*.f64 b d) (/.f64 (fma.f64 b (/.f64 (*.f64 d (*.f64 d d)) c) (*.f64 (*.f64 d d) a)) c)) c)) c) |
(/ a c) |
(/.f64 a c) |
(+ (/ a c) (/ (* b d) (pow c 2))) |
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(/.f64 (fma.f64 (neg.f64 c) (/.f64 c (*.f64 d d)) #s(literal 1 binary64)) d) |
(* -1 (/ (- (* -1 (/ (pow c 4) (pow d 4))) (+ 1 (* -1 (/ (pow c 2) (pow d 2))))) d)) |
(/.f64 (-.f64 (/.f64 (*.f64 (*.f64 c c) (*.f64 c c)) (*.f64 (*.f64 d d) (*.f64 d d))) (fma.f64 c (/.f64 c (*.f64 d d)) #s(literal -1 binary64))) d) |
(* -1 (/ (- (/ (pow c 6) (pow d 6)) (+ 1 (+ (* -1 (/ (pow c 2) (pow d 2))) (/ (pow c 4) (pow d 4))))) d)) |
(/.f64 (+.f64 (/.f64 (pow.f64 c #s(literal 6 binary64)) (pow.f64 d #s(literal 6 binary64))) (-.f64 (fma.f64 c (/.f64 c (*.f64 d d)) #s(literal -1 binary64)) (/.f64 (*.f64 (*.f64 c c) (*.f64 c c)) (*.f64 (*.f64 d d) (*.f64 d d))))) (neg.f64 d)) |
(/ 1 d) |
(/.f64 #s(literal 1 binary64) d) |
(+ (* -1 (/ (pow c 2) (pow d 3))) (/ 1 d)) |
(/.f64 (fma.f64 (neg.f64 c) (/.f64 c (*.f64 d d)) #s(literal 1 binary64)) d) |
(+ (* (pow c 2) (- (/ (pow c 2) (pow d 5)) (/ 1 (pow d 3)))) (/ 1 d)) |
(fma.f64 (*.f64 c c) (fma.f64 c (/.f64 c (pow.f64 d #s(literal 5 binary64))) (/.f64 #s(literal -1 binary64) (*.f64 d (*.f64 d d)))) (/.f64 #s(literal 1 binary64) d)) |
(+ (* (pow c 2) (- (* (pow c 2) (+ (* -1 (/ (pow c 2) (pow d 7))) (/ 1 (pow d 5)))) (/ 1 (pow d 3)))) (/ 1 d)) |
(fma.f64 (*.f64 c c) (fma.f64 (*.f64 c c) (fma.f64 (neg.f64 c) (/.f64 c (pow.f64 d #s(literal 7 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 d #s(literal 5 binary64)))) (/.f64 #s(literal -1 binary64) (*.f64 d (*.f64 d d)))) (/.f64 #s(literal 1 binary64) d)) |
(/ d (pow c 2)) |
(/.f64 d (*.f64 c c)) |
(/ (+ d (* -1 (/ (pow d 3) (pow c 2)))) (pow c 2)) |
(/.f64 (fma.f64 (*.f64 d (neg.f64 d)) (/.f64 d (*.f64 c c)) d) (*.f64 c c)) |
(/ (- (+ d (/ (pow d 5) (pow c 4))) (/ (pow d 3) (pow c 2))) (pow c 2)) |
(/.f64 (+.f64 (/.f64 (pow.f64 d #s(literal 5 binary64)) (*.f64 (*.f64 c c) (*.f64 c c))) (fma.f64 (*.f64 d (neg.f64 d)) (/.f64 d (*.f64 c c)) d)) (*.f64 c c)) |
(/ (- (+ d (* -1 (/ (pow d 7) (pow c 6)))) (+ (* -1 (/ (pow d 5) (pow c 4))) (/ (pow d 3) (pow c 2)))) (pow c 2)) |
(/.f64 (-.f64 (-.f64 d (/.f64 (pow.f64 d #s(literal 7 binary64)) (pow.f64 c #s(literal 6 binary64)))) (-.f64 (/.f64 (*.f64 d (*.f64 d d)) (*.f64 c c)) (/.f64 (pow.f64 d #s(literal 5 binary64)) (*.f64 (*.f64 c c) (*.f64 c c))))) (*.f64 c c)) |
(/ d (pow c 2)) |
(/.f64 d (*.f64 c c)) |
(/ (+ d (* -1 (/ (pow d 3) (pow c 2)))) (pow c 2)) |
(/.f64 (fma.f64 (*.f64 d (neg.f64 d)) (/.f64 d (*.f64 c c)) d) (*.f64 c c)) |
(/ (- (+ d (/ (pow d 5) (pow c 4))) (/ (pow d 3) (pow c 2))) (pow c 2)) |
(/.f64 (+.f64 (/.f64 (pow.f64 d #s(literal 5 binary64)) (*.f64 (*.f64 c c) (*.f64 c c))) (fma.f64 (*.f64 d (neg.f64 d)) (/.f64 d (*.f64 c c)) d)) (*.f64 c c)) |
(/ (- (+ d (* -1 (/ (pow d 7) (pow c 6)))) (+ (* -1 (/ (pow d 5) (pow c 4))) (/ (pow d 3) (pow c 2)))) (pow c 2)) |
(/.f64 (-.f64 (-.f64 d (/.f64 (pow.f64 d #s(literal 7 binary64)) (pow.f64 c #s(literal 6 binary64)))) (-.f64 (/.f64 (*.f64 d (*.f64 d d)) (*.f64 c c)) (/.f64 (pow.f64 d #s(literal 5 binary64)) (*.f64 (*.f64 c c) (*.f64 c c))))) (*.f64 c c)) |
(/ (* b d) (+ (pow c 2) (pow d 2))) |
(*.f64 b (/.f64 d (fma.f64 d d (*.f64 c c)))) |
(/ (* b d) (+ (pow c 2) (pow d 2))) |
(*.f64 b (/.f64 d (fma.f64 d d (*.f64 c c)))) |
(/ (* b d) (+ (pow c 2) (pow d 2))) |
(*.f64 b (/.f64 d (fma.f64 d d (*.f64 c c)))) |
(/ (* b d) (+ (pow c 2) (pow d 2))) |
(*.f64 b (/.f64 d (fma.f64 d d (*.f64 c c)))) |
(/ (* b d) (+ (pow c 2) (pow d 2))) |
(*.f64 b (/.f64 d (fma.f64 d d (*.f64 c c)))) |
(/ (* b d) (+ (pow c 2) (pow d 2))) |
(*.f64 b (/.f64 d (fma.f64 d d (*.f64 c c)))) |
(/ (* b d) (+ (pow c 2) (pow d 2))) |
(*.f64 b (/.f64 d (fma.f64 d d (*.f64 c c)))) |
(/ (* b d) (+ (pow c 2) (pow d 2))) |
(*.f64 b (/.f64 d (fma.f64 d d (*.f64 c c)))) |
(/ (* b d) (+ (pow c 2) (pow d 2))) |
(*.f64 b (/.f64 d (fma.f64 d d (*.f64 c c)))) |
(/ (* b d) (+ (pow c 2) (pow d 2))) |
(*.f64 b (/.f64 d (fma.f64 d d (*.f64 c c)))) |
(/ (* b d) (+ (pow c 2) (pow d 2))) |
(*.f64 b (/.f64 d (fma.f64 d d (*.f64 c c)))) |
(/ (* b d) (+ (pow c 2) (pow d 2))) |
(*.f64 b (/.f64 d (fma.f64 d d (*.f64 c c)))) |
(/ (* b d) (pow c 2)) |
(*.f64 b (/.f64 d (*.f64 c c))) |
(* d (+ (* -1 (/ (* b (pow d 2)) (pow c 4))) (/ b (pow c 2)))) |
(*.f64 d (-.f64 (/.f64 b (*.f64 c c)) (/.f64 (*.f64 b (*.f64 d d)) (*.f64 (*.f64 c c) (*.f64 c c))))) |
(* d (+ (* (pow d 2) (- (/ (* b (pow d 2)) (pow c 6)) (/ b (pow c 4)))) (/ b (pow c 2)))) |
(*.f64 d (fma.f64 (*.f64 d d) (fma.f64 (*.f64 d d) (/.f64 b (pow.f64 c #s(literal 6 binary64))) (neg.f64 (/.f64 b (*.f64 (*.f64 c c) (*.f64 c c))))) (/.f64 b (*.f64 c c)))) |
(* d (+ (* (pow d 2) (- (* (pow d 2) (- (* -1 (/ (* b (pow d 2)) (pow c 8))) (* -1 (/ b (pow c 6))))) (/ b (pow c 4)))) (/ b (pow c 2)))) |
(*.f64 d (fma.f64 (*.f64 d d) (fma.f64 (*.f64 d d) (-.f64 (/.f64 b (pow.f64 c #s(literal 6 binary64))) (/.f64 (*.f64 b (*.f64 d d)) (pow.f64 c #s(literal 8 binary64)))) (neg.f64 (/.f64 b (*.f64 (*.f64 c c) (*.f64 c c))))) (/.f64 b (*.f64 c c)))) |
(/ b d) |
(/.f64 b d) |
(/ (+ b (* -1 (/ (* b (pow c 2)) (pow d 2)))) d) |
(/.f64 (fma.f64 (neg.f64 b) (/.f64 (*.f64 c c) (*.f64 d d)) b) d) |
(/ (- (+ b (/ (* b (pow c 4)) (pow d 4))) (/ (* b (pow c 2)) (pow d 2))) d) |
(/.f64 (fma.f64 b (fma.f64 (neg.f64 c) (/.f64 c (*.f64 d d)) (/.f64 (*.f64 (*.f64 c c) (*.f64 c c)) (*.f64 (*.f64 d d) (*.f64 d d)))) b) d) |
(/ (- (+ b (* -1 (/ (* b (pow c 6)) (pow d 6)))) (+ (* -1 (/ (* b (pow c 4)) (pow d 4))) (/ (* b (pow c 2)) (pow d 2)))) d) |
(/.f64 (fma.f64 b (/.f64 (neg.f64 (pow.f64 c #s(literal 6 binary64))) (pow.f64 d #s(literal 6 binary64))) (fma.f64 b (fma.f64 (neg.f64 c) (/.f64 c (*.f64 d d)) (/.f64 (*.f64 (*.f64 c c) (*.f64 c c)) (*.f64 (*.f64 d d) (*.f64 d d)))) b)) d) |
(/ b d) |
(/.f64 b d) |
(* -1 (/ (+ (* -1 b) (/ (* b (pow c 2)) (pow d 2))) d)) |
(/.f64 (fma.f64 (neg.f64 b) (/.f64 (*.f64 c c) (*.f64 d d)) b) d) |
(* -1 (/ (+ (* -1 b) (+ (* -1 (/ (* b (pow c 4)) (pow d 4))) (/ (* b (pow c 2)) (pow d 2)))) d)) |
(/.f64 (fma.f64 b (fma.f64 (neg.f64 c) (/.f64 c (*.f64 d d)) (/.f64 (*.f64 (*.f64 c c) (*.f64 c c)) (*.f64 (*.f64 d d) (*.f64 d d)))) b) d) |
(* -1 (/ (+ (* -1 b) (+ (* -1 (/ (* b (pow c 4)) (pow d 4))) (+ (/ (* b (pow c 2)) (pow d 2)) (/ (* b (pow c 6)) (pow d 6))))) d)) |
(/.f64 (fma.f64 b (fma.f64 c (/.f64 c (*.f64 d d)) (/.f64 (pow.f64 c #s(literal 6 binary64)) (pow.f64 d #s(literal 6 binary64)))) (neg.f64 (fma.f64 (*.f64 (*.f64 c c) (*.f64 c c)) (/.f64 b (*.f64 (*.f64 d d) (*.f64 d d))) b))) (neg.f64 d)) |
(/ b d) |
(/.f64 b d) |
(+ (* -1 (/ (* b (pow c 2)) (pow d 3))) (/ b d)) |
(/.f64 (fma.f64 (neg.f64 b) (/.f64 (*.f64 c c) (*.f64 d d)) b) d) |
(+ (* (pow c 2) (- (/ (* b (pow c 2)) (pow d 5)) (/ b (pow d 3)))) (/ b d)) |
(fma.f64 (*.f64 c c) (-.f64 (/.f64 (*.f64 b (*.f64 c c)) (pow.f64 d #s(literal 5 binary64))) (/.f64 b (*.f64 d (*.f64 d d)))) (/.f64 b d)) |
(+ (* (pow c 2) (- (* (pow c 2) (- (* -1 (/ (* b (pow c 2)) (pow d 7))) (* -1 (/ b (pow d 5))))) (/ b (pow d 3)))) (/ b d)) |
(fma.f64 (*.f64 c c) (-.f64 (*.f64 (*.f64 c c) (-.f64 (/.f64 b (pow.f64 d #s(literal 5 binary64))) (/.f64 (*.f64 b (*.f64 c c)) (pow.f64 d #s(literal 7 binary64))))) (/.f64 b (*.f64 d (*.f64 d d)))) (/.f64 b d)) |
(/ (* b d) (pow c 2)) |
(*.f64 b (/.f64 d (*.f64 c c))) |
(/ (+ (* -1 (/ (* b (pow d 3)) (pow c 2))) (* b d)) (pow c 2)) |
(/.f64 (-.f64 (*.f64 b d) (/.f64 (*.f64 b (*.f64 d (*.f64 d d))) (*.f64 c c))) (*.f64 c c)) |
(/ (- (+ (* b d) (/ (* b (pow d 5)) (pow c 4))) (/ (* b (pow d 3)) (pow c 2))) (pow c 2)) |
(/.f64 (fma.f64 b (-.f64 (/.f64 (pow.f64 d #s(literal 5 binary64)) (*.f64 (*.f64 c c) (*.f64 c c))) (/.f64 (*.f64 d (*.f64 d d)) (*.f64 c c))) (*.f64 b d)) (*.f64 c c)) |
(/ (- (+ (* -1 (/ (* b (pow d 7)) (pow c 6))) (* b d)) (+ (* -1 (/ (* b (pow d 5)) (pow c 4))) (/ (* b (pow d 3)) (pow c 2)))) (pow c 2)) |
(/.f64 (fma.f64 b (-.f64 (/.f64 (pow.f64 d #s(literal 5 binary64)) (*.f64 (*.f64 c c) (*.f64 c c))) (/.f64 (*.f64 d (*.f64 d d)) (*.f64 c c))) (fma.f64 (neg.f64 b) (/.f64 (pow.f64 d #s(literal 7 binary64)) (pow.f64 c #s(literal 6 binary64))) (*.f64 b d))) (*.f64 c c)) |
(/ (* b d) (pow c 2)) |
(*.f64 b (/.f64 d (*.f64 c c))) |
(/ (+ (* -1 (/ (* b (pow d 3)) (pow c 2))) (* b d)) (pow c 2)) |
(/.f64 (-.f64 (*.f64 b d) (/.f64 (*.f64 b (*.f64 d (*.f64 d d))) (*.f64 c c))) (*.f64 c c)) |
(/ (- (+ (* b d) (/ (* b (pow d 5)) (pow c 4))) (/ (* b (pow d 3)) (pow c 2))) (pow c 2)) |
(/.f64 (fma.f64 b (-.f64 (/.f64 (pow.f64 d #s(literal 5 binary64)) (*.f64 (*.f64 c c) (*.f64 c c))) (/.f64 (*.f64 d (*.f64 d d)) (*.f64 c c))) (*.f64 b d)) (*.f64 c c)) |
(/ (- (+ (* -1 (/ (* b (pow d 7)) (pow c 6))) (* b d)) (+ (* -1 (/ (* b (pow d 5)) (pow c 4))) (/ (* b (pow d 3)) (pow c 2)))) (pow c 2)) |
(/.f64 (fma.f64 b (-.f64 (/.f64 (pow.f64 d #s(literal 5 binary64)) (*.f64 (*.f64 c c) (*.f64 c c))) (/.f64 (*.f64 d (*.f64 d d)) (*.f64 c c))) (fma.f64 (neg.f64 b) (/.f64 (pow.f64 d #s(literal 7 binary64)) (pow.f64 c #s(literal 6 binary64))) (*.f64 b d))) (*.f64 c c)) |
(* -1 (/ (* a d) c)) |
(*.f64 d (/.f64 a (neg.f64 c))) |
(* -1 (/ (* a d) c)) |
(*.f64 d (/.f64 a (neg.f64 c))) |
(* -1 (/ (* a d) c)) |
(*.f64 d (/.f64 a (neg.f64 c))) |
(* -1 (/ (* a d) c)) |
(*.f64 d (/.f64 a (neg.f64 c))) |
(* -1 (/ (* a d) c)) |
(*.f64 d (/.f64 a (neg.f64 c))) |
(* -1 (/ (* a d) c)) |
(*.f64 d (/.f64 a (neg.f64 c))) |
(* -1 (/ (* a d) c)) |
(*.f64 d (/.f64 a (neg.f64 c))) |
(* -1 (/ (* a d) c)) |
(*.f64 d (/.f64 a (neg.f64 c))) |
(* -1 (/ (* a d) c)) |
(*.f64 d (/.f64 a (neg.f64 c))) |
(* -1 (/ (* a d) c)) |
(*.f64 d (/.f64 a (neg.f64 c))) |
(* -1 (/ (* a d) c)) |
(*.f64 d (/.f64 a (neg.f64 c))) |
(* -1 (/ (* a d) c)) |
(*.f64 d (/.f64 a (neg.f64 c))) |
(* -1 (/ (* a d) c)) |
(*.f64 d (/.f64 a (neg.f64 c))) |
(* -1 (/ (* a d) c)) |
(*.f64 d (/.f64 a (neg.f64 c))) |
(* -1 (/ (* a d) c)) |
(*.f64 d (/.f64 a (neg.f64 c))) |
(* -1 (/ (* a d) c)) |
(*.f64 d (/.f64 a (neg.f64 c))) |
(* -1 (/ (* a d) c)) |
(*.f64 d (/.f64 a (neg.f64 c))) |
(* -1 (/ (* a d) c)) |
(*.f64 d (/.f64 a (neg.f64 c))) |
(* -1 (/ (* a d) c)) |
(*.f64 d (/.f64 a (neg.f64 c))) |
(* -1 (/ (* a d) c)) |
(*.f64 d (/.f64 a (neg.f64 c))) |
(* -1 (/ (* a d) c)) |
(*.f64 d (/.f64 a (neg.f64 c))) |
(* -1 (/ (* a d) c)) |
(*.f64 d (/.f64 a (neg.f64 c))) |
(* -1 (/ (* a d) c)) |
(*.f64 d (/.f64 a (neg.f64 c))) |
(* -1 (/ (* a d) c)) |
(*.f64 d (/.f64 a (neg.f64 c))) |
(* -1 (/ (* a d) c)) |
(*.f64 d (/.f64 a (neg.f64 c))) |
(* -1 (/ (* a d) c)) |
(*.f64 d (/.f64 a (neg.f64 c))) |
(* -1 (/ (* a d) c)) |
(*.f64 d (/.f64 a (neg.f64 c))) |
(* -1 (/ (* a d) c)) |
(*.f64 d (/.f64 a (neg.f64 c))) |
(* -1 (/ (* a d) c)) |
(*.f64 d (/.f64 a (neg.f64 c))) |
(* -1 (/ (* a d) c)) |
(*.f64 d (/.f64 a (neg.f64 c))) |
(* -1 (/ (* a d) c)) |
(*.f64 d (/.f64 a (neg.f64 c))) |
(* -1 (/ (* a d) c)) |
(*.f64 d (/.f64 a (neg.f64 c))) |
(* -1 (/ (* a d) c)) |
(*.f64 d (/.f64 a (neg.f64 c))) |
(* -1 (/ (* a d) c)) |
(*.f64 d (/.f64 a (neg.f64 c))) |
(* -1 (/ (* a d) c)) |
(*.f64 d (/.f64 a (neg.f64 c))) |
(* -1 (/ (* a d) c)) |
(*.f64 d (/.f64 a (neg.f64 c))) |
Compiled 37 495 to 2 916 computations (92.2% saved)
25 alts after pruning (20 fresh and 5 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1 470 | 10 | 1 480 |
| Fresh | 7 | 10 | 17 |
| Picked | 2 | 3 | 5 |
| Done | 0 | 2 | 2 |
| Total | 1 479 | 25 | 1 504 |
| Status | Accuracy | Program |
|---|---|---|
| 56.0% | (fma.f64 (/.f64 d c) (/.f64 b c) (/.f64 a c)) | |
| 41.5% | (fma.f64 c (fma.f64 (/.f64 (/.f64 b d) d) (/.f64 (neg.f64 c) d) (/.f64 a (*.f64 d d))) (/.f64 b d)) | |
| ✓ | 49.6% | (fma.f64 b (/.f64 d (*.f64 c c)) (/.f64 a c)) |
| ▶ | 56.4% | (/.f64 (fma.f64 (/.f64 b c) d a) c) |
| ▶ | 48.4% | (/.f64 (fma.f64 c (/.f64 a d) b) d) |
| ✓ | 56.7% | (/.f64 (fma.f64 b (/.f64 d c) a) c) |
| 35.5% | (/.f64 (fma.f64 b d (*.f64 c a)) (*.f64 c c)) | |
| 49.0% | (/.f64 (fma.f64 a (/.f64 c d) b) d) | |
| 23.6% | (/.f64 (/.f64 (*.f64 b d) c) c) | |
| 52.8% | (/.f64 (+.f64 (/.f64 (*.f64 d (fma.f64 d (/.f64 (neg.f64 a) c) b)) c) a) c) | |
| 28.1% | (/.f64 (*.f64 b d) (*.f64 d d)) | |
| ▶ | 19.1% | (/.f64 (*.f64 b d) (*.f64 c c)) |
| ▶ | 40.2% | (/.f64 (*.f64 a c) (fma.f64 d d (*.f64 c c))) |
| 18.1% | (/.f64 (*.f64 a c) (*.f64 d d)) | |
| ✓ | 39.3% | (/.f64 b d) |
| ✓ | 44.0% | (/.f64 a c) |
| 40.2% | (/.f64 #s(literal 1 binary64) (fma.f64 c (fma.f64 c (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 b d)) (/.f64 (*.f64 a a) (*.f64 b (*.f64 b (*.f64 b d))))) (/.f64 a (*.f64 (neg.f64 b) b))) (/.f64 d b))) | |
| ✓ | 39.1% | (/.f64 #s(literal 1 binary64) (/.f64 d b)) |
| 39.0% | (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) b) d)) | |
| 56.3% | (*.f64 (fma.f64 d (/.f64 b c) a) (/.f64 #s(literal 1 binary64) c)) | |
| 39.2% | (*.f64 (/.f64 #s(literal 1 binary64) d) b) | |
| 43.9% | (*.f64 (/.f64 #s(literal 1 binary64) c) (pow.f64 (/.f64 #s(literal 1 binary64) a) #s(literal -1 binary64))) | |
| ▶ | 43.9% | (*.f64 (/.f64 #s(literal 1 binary64) c) a) |
| 41.9% | (*.f64 c (/.f64 a (fma.f64 d d (*.f64 c c)))) | |
| 18.6% | (*.f64 b (/.f64 d (*.f64 c c))) |
Compiled 613 to 374 computations (39% saved)
| 1× | egg-herbie |
Found 15 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | cost-diff | 0 | (/.f64 a d) |
| ✓ | cost-diff | 0 | (fma.f64 c (/.f64 a d) b) |
| ✓ | cost-diff | 0 | (/.f64 (fma.f64 c (/.f64 a d) b) d) |
| ✓ | cost-diff | 0 | (*.f64 c c) |
| ✓ | cost-diff | 0 | (fma.f64 d d (*.f64 c c)) |
| ✓ | cost-diff | 0 | (*.f64 a c) |
| ✓ | cost-diff | 0 | (/.f64 (*.f64 a c) (fma.f64 d d (*.f64 c c))) |
| ✓ | cost-diff | 0 | (*.f64 c c) |
| ✓ | cost-diff | 0 | (*.f64 b d) |
| ✓ | cost-diff | 0 | (/.f64 (*.f64 b d) (*.f64 c c)) |
| ✓ | cost-diff | 0 | (/.f64 #s(literal 1 binary64) c) |
| ✓ | cost-diff | 320 | (*.f64 (/.f64 #s(literal 1 binary64) c) a) |
| ✓ | cost-diff | 0 | (/.f64 b c) |
| ✓ | cost-diff | 0 | (fma.f64 (/.f64 b c) d a) |
| ✓ | cost-diff | 0 | (/.f64 (fma.f64 (/.f64 b c) d a) c) |
| 304× | *-lowering-*.f32 |
| 304× | *-lowering-*.f64 |
| 184× | times-frac |
| 132× | /-lowering-/.f32 |
| 132× | /-lowering-/.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 22 | 100 |
| 1 | 44 | 98 |
| 2 | 62 | 98 |
| 3 | 95 | 98 |
| 4 | 113 | 98 |
| 5 | 175 | 98 |
| 6 | 181 | 98 |
| 7 | 192 | 98 |
| 8 | 215 | 98 |
| 9 | 266 | 98 |
| 10 | 328 | 98 |
| 11 | 348 | 98 |
| 12 | 385 | 98 |
| 13 | 424 | 98 |
| 14 | 433 | 98 |
| 0 | 433 | 92 |
| 1× | iter limit |
| 1× | saturated |
| Inputs |
|---|
(/ (+ (* (/ b c) d) a) c) |
(+ (* (/ b c) d) a) |
(/ b c) |
b |
c |
d |
a |
(* (/ 1 c) a) |
(/ 1 c) |
1 |
c |
a |
(/ (* b d) (* c c)) |
(* b d) |
b |
d |
(* c c) |
c |
(/ (* a c) (+ (* d d) (* c c))) |
(* a c) |
a |
c |
(+ (* d d) (* c c)) |
d |
(* c c) |
(/ (+ (* c (/ a d)) b) d) |
(+ (* c (/ a d)) b) |
c |
(/ a d) |
a |
d |
b |
| Outputs |
|---|
(/ (+ (* (/ b c) d) a) c) |
(/.f64 (fma.f64 b (/.f64 d c) a) c) |
(+ (* (/ b c) d) a) |
(fma.f64 b (/.f64 d c) a) |
(/ b c) |
(/.f64 b c) |
b |
c |
d |
a |
(* (/ 1 c) a) |
(/.f64 a c) |
(/ 1 c) |
(/.f64 #s(literal 1 binary64) c) |
1 |
#s(literal 1 binary64) |
c |
a |
(/ (* b d) (* c c)) |
(/.f64 (*.f64 b d) (*.f64 c c)) |
(* b d) |
(*.f64 b d) |
b |
d |
(* c c) |
(*.f64 c c) |
c |
(/ (* a c) (+ (* d d) (* c c))) |
(*.f64 a (/.f64 c (fma.f64 c c (*.f64 d d)))) |
(* a c) |
(*.f64 c a) |
a |
c |
(+ (* d d) (* c c)) |
(fma.f64 c c (*.f64 d d)) |
d |
(* c c) |
(*.f64 c c) |
(/ (+ (* c (/ a d)) b) d) |
(/.f64 (fma.f64 c (/.f64 a d) b) d) |
(+ (* c (/ a d)) b) |
(fma.f64 c (/.f64 a d) b) |
c |
(/ a d) |
(/.f64 a d) |
a |
d |
b |
Found 15 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | accuracy | 100.0% | (/.f64 a d) |
| ✓ | accuracy | 99.9% | (/.f64 (fma.f64 c (/.f64 a d) b) d) |
| ✓ | accuracy | 97.9% | (fma.f64 c (/.f64 a d) b) |
| ✓ | accuracy | 100.0% | (fma.f64 d d (*.f64 c c)) |
| ✓ | accuracy | 100.0% | (*.f64 c c) |
| ✓ | accuracy | 100.0% | (*.f64 a c) |
| ✓ | accuracy | 71.6% | (/.f64 (*.f64 a c) (fma.f64 d d (*.f64 c c))) |
| ✓ | accuracy | 100.0% | (*.f64 c c) |
| ✓ | accuracy | 100.0% | (*.f64 b d) |
| ✓ | accuracy | 82.4% | (/.f64 (*.f64 b d) (*.f64 c c)) |
| ✓ | accuracy | 100.0% | (/.f64 #s(literal 1 binary64) c) |
| ✓ | accuracy | 99.6% | (*.f64 (/.f64 #s(literal 1 binary64) c) a) |
| ✓ | accuracy | 100.0% | (/.f64 b c) |
| ✓ | accuracy | 98.8% | (/.f64 (fma.f64 (/.f64 b c) d a) c) |
| ✓ | accuracy | 96.9% | (fma.f64 (/.f64 b c) d a) |
| 43.0ms | 256× | 0 | valid |
Compiled 96 to 24 computations (75% saved)
ival-div: 11.0ms (40.6% of total)ival-mult: 10.0ms (36.9% of total)ival-add: 4.0ms (14.8% of total)ival-assert: 1.0ms (3.7% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)| Inputs |
|---|
#<alt (/ (+ (* (/ b c) d) a) c)> |
#<alt (+ (* (/ b c) d) a)> |
#<alt (/ b c)> |
#<alt (* (/ 1 c) a)> |
#<alt (/ 1 c)> |
#<alt (/ (* b d) (* c c))> |
#<alt (* b d)> |
#<alt (* c c)> |
#<alt (/ (* a c) (+ (* d d) (* c c)))> |
#<alt (* a c)> |
#<alt (+ (* d d) (* c c))> |
#<alt (/ (+ (* c (/ a d)) b) d)> |
#<alt (+ (* c (/ a d)) b)> |
#<alt (/ a d)> |
| Outputs |
|---|
#<alt (/ a c)> |
#<alt (+ (/ a c) (/ (* b d) (pow c 2)))> |
#<alt (+ (/ a c) (/ (* b d) (pow c 2)))> |
#<alt (+ (/ a c) (/ (* b d) (pow c 2)))> |
#<alt (/ (* b d) (pow c 2))> |
#<alt (* b (+ (/ a (* b c)) (/ d (pow c 2))))> |
#<alt (* b (+ (/ a (* b c)) (/ d (pow c 2))))> |
#<alt (* b (+ (/ a (* b c)) (/ d (pow c 2))))> |
#<alt (/ (* b d) (pow c 2))> |
#<alt (* -1 (* b (+ (* -1 (/ a (* b c))) (* -1 (/ d (pow c 2))))))> |
#<alt (* -1 (* b (+ (* -1 (/ a (* b c))) (* -1 (/ d (pow c 2))))))> |
#<alt (* -1 (* b (+ (* -1 (/ a (* b c))) (* -1 (/ d (pow c 2))))))> |
#<alt (/ (* b d) (pow c 2))> |
#<alt (/ (+ (* a c) (* b d)) (pow c 2))> |
#<alt (/ (+ (* a c) (* b d)) (pow c 2))> |
#<alt (/ (+ (* a c) (* b d)) (pow c 2))> |
#<alt (/ a c)> |
#<alt (/ (+ a (/ (* b d) c)) c)> |
#<alt (/ (+ a (/ (* b d) c)) c)> |
#<alt (/ (+ a (/ (* b d) c)) c)> |
#<alt (/ a c)> |
#<alt (* -1 (/ (+ (* -1 a) (* -1 (/ (* b d) c))) c))> |
#<alt (* -1 (/ (+ (* -1 a) (* -1 (/ (* b d) c))) c))> |
#<alt (* -1 (/ (+ (* -1 a) (* -1 (/ (* b d) c))) c))> |
#<alt (/ a c)> |
#<alt (+ (/ a c) (/ (* b d) (pow c 2)))> |
#<alt (+ (/ a c) (/ (* b d) (pow c 2)))> |
#<alt (+ (/ a c) (/ (* b d) (pow c 2)))> |
#<alt (/ (* b d) (pow c 2))> |
#<alt (* d (+ (/ a (* c d)) (/ b (pow c 2))))> |
#<alt (* d (+ (/ a (* c d)) (/ b (pow c 2))))> |
#<alt (* d (+ (/ a (* c d)) (/ b (pow c 2))))> |
#<alt (/ (* b d) (pow c 2))> |
#<alt (* -1 (* d (+ (* -1 (/ a (* c d))) (* -1 (/ b (pow c 2))))))> |
#<alt (* -1 (* d (+ (* -1 (/ a (* c d))) (* -1 (/ b (pow c 2))))))> |
#<alt (* -1 (* d (+ (* -1 (/ a (* c d))) (* -1 (/ b (pow c 2))))))> |
#<alt (/ (* b d) (pow c 2))> |
#<alt (+ (/ a c) (/ (* b d) (pow c 2)))> |
#<alt (+ (/ a c) (/ (* b d) (pow c 2)))> |
#<alt (+ (/ a c) (/ (* b d) (pow c 2)))> |
#<alt (/ a c)> |
#<alt (* a (+ (/ 1 c) (/ (* b d) (* a (pow c 2)))))> |
#<alt (* a (+ (/ 1 c) (/ (* b d) (* a (pow c 2)))))> |
#<alt (* a (+ (/ 1 c) (/ (* b d) (* a (pow c 2)))))> |
#<alt (/ a c)> |
#<alt (* -1 (* a (- (* -1 (/ (* b d) (* a (pow c 2)))) (/ 1 c))))> |
#<alt (* -1 (* a (- (* -1 (/ (* b d) (* a (pow c 2)))) (/ 1 c))))> |
#<alt (* -1 (* a (- (* -1 (/ (* b d) (* a (pow c 2)))) (/ 1 c))))> |
#<alt a> |
#<alt (+ a (/ (* b d) c))> |
#<alt (+ a (/ (* b d) c))> |
#<alt (+ a (/ (* b d) c))> |
#<alt (/ (* b d) c)> |
#<alt (* b (+ (/ a b) (/ d c)))> |
#<alt (* b (+ (/ a b) (/ d c)))> |
#<alt (* b (+ (/ a b) (/ d c)))> |
#<alt (/ (* b d) c)> |
#<alt (* -1 (* b (+ (* -1 (/ a b)) (* -1 (/ d c)))))> |
#<alt (* -1 (* b (+ (* -1 (/ a b)) (* -1 (/ d c)))))> |
#<alt (* -1 (* b (+ (* -1 (/ a b)) (* -1 (/ d c)))))> |
#<alt (/ (* b d) c)> |
#<alt (/ (+ (* a c) (* b d)) c)> |
#<alt (/ (+ (* a c) (* b d)) c)> |
#<alt (/ (+ (* a c) (* b d)) c)> |
#<alt a> |
#<alt (+ a (/ (* b d) c))> |
#<alt (+ a (/ (* b d) c))> |
#<alt (+ a (/ (* b d) c))> |
#<alt a> |
#<alt (+ a (/ (* b d) c))> |
#<alt (+ a (/ (* b d) c))> |
#<alt (+ a (/ (* b d) c))> |
#<alt a> |
#<alt (+ a (/ (* b d) c))> |
#<alt (+ a (/ (* b d) c))> |
#<alt (+ a (/ (* b d) c))> |
#<alt (/ (* b d) c)> |
#<alt (* d (+ (/ a d) (/ b c)))> |
#<alt (* d (+ (/ a d) (/ b c)))> |
#<alt (* d (+ (/ a d) (/ b c)))> |
#<alt (/ (* b d) c)> |
#<alt (* -1 (* d (+ (* -1 (/ a d)) (* -1 (/ b c)))))> |
#<alt (* -1 (* d (+ (* -1 (/ a d)) (* -1 (/ b c)))))> |
#<alt (* -1 (* d (+ (* -1 (/ a d)) (* -1 (/ b c)))))> |
#<alt (/ (* b d) c)> |
#<alt (+ a (/ (* b d) c))> |
#<alt (+ a (/ (* b d) c))> |
#<alt (+ a (/ (* b d) c))> |
#<alt a> |
#<alt (* a (+ 1 (/ (* b d) (* a c))))> |
#<alt (* a (+ 1 (/ (* b d) (* a c))))> |
#<alt (* a (+ 1 (/ (* b d) (* a c))))> |
#<alt a> |
#<alt (* -1 (* a (- (* -1 (/ (* b d) (* a c))) 1)))> |
#<alt (* -1 (* a (- (* -1 (/ (* b d) (* a c))) 1)))> |
#<alt (* -1 (* a (- (* -1 (/ (* b d) (* a c))) 1)))> |
#<alt (/ b c)> |
#<alt (/ b c)> |
#<alt (/ b c)> |
#<alt (/ b c)> |
#<alt (/ b c)> |
#<alt (/ b c)> |
#<alt (/ b c)> |
#<alt (/ b c)> |
#<alt (/ b c)> |
#<alt (/ b c)> |
#<alt (/ b c)> |
#<alt (/ b c)> |
#<alt (/ b c)> |
#<alt (/ b c)> |
#<alt (/ b c)> |
#<alt (/ b c)> |
#<alt (/ b c)> |
#<alt (/ b c)> |
#<alt (/ b c)> |
#<alt (/ b c)> |
#<alt (/ b c)> |
#<alt (/ b c)> |
#<alt (/ b c)> |
#<alt (/ b c)> |
#<alt (/ a c)> |
#<alt (/ a c)> |
#<alt (/ a c)> |
#<alt (/ a c)> |
#<alt (/ a c)> |
#<alt (/ a c)> |
#<alt (/ a c)> |
#<alt (/ a c)> |
#<alt (/ a c)> |
#<alt (/ a c)> |
#<alt (/ a c)> |
#<alt (/ a c)> |
#<alt (/ a c)> |
#<alt (/ a c)> |
#<alt (/ a c)> |
#<alt (/ a c)> |
#<alt (/ a c)> |
#<alt (/ a c)> |
#<alt (/ a c)> |
#<alt (/ a c)> |
#<alt (/ a c)> |
#<alt (/ a c)> |
#<alt (/ a c)> |
#<alt (/ a c)> |
#<alt (/ 1 c)> |
#<alt (/ 1 c)> |
#<alt (/ 1 c)> |
#<alt (/ 1 c)> |
#<alt (/ 1 c)> |
#<alt (/ 1 c)> |
#<alt (/ 1 c)> |
#<alt (/ 1 c)> |
#<alt (/ 1 c)> |
#<alt (/ 1 c)> |
#<alt (/ 1 c)> |
#<alt (/ 1 c)> |
#<alt (/ (* b d) (pow c 2))> |
#<alt (/ (* b d) (pow c 2))> |
#<alt (/ (* b d) (pow c 2))> |
#<alt (/ (* b d) (pow c 2))> |
#<alt (/ (* b d) (pow c 2))> |
#<alt (/ (* b d) (pow c 2))> |
#<alt (/ (* b d) (pow c 2))> |
#<alt (/ (* b d) (pow c 2))> |
#<alt (/ (* b d) (pow c 2))> |
#<alt (/ (* b d) (pow c 2))> |
#<alt (/ (* b d) (pow c 2))> |
#<alt (/ (* b d) (pow c 2))> |
#<alt (/ (* b d) (pow c 2))> |
#<alt (/ (* b d) (pow c 2))> |
#<alt (/ (* b d) (pow c 2))> |
#<alt (/ (* b d) (pow c 2))> |
#<alt (/ (* b d) (pow c 2))> |
#<alt (/ (* b d) (pow c 2))> |
#<alt (/ (* b d) (pow c 2))> |
#<alt (/ (* b d) (pow c 2))> |
#<alt (/ (* b d) (pow c 2))> |
#<alt (/ (* b d) (pow c 2))> |
#<alt (/ (* b d) (pow c 2))> |
#<alt (/ (* b d) (pow c 2))> |
#<alt (/ (* b d) (pow c 2))> |
#<alt (/ (* b d) (pow c 2))> |
#<alt (/ (* b d) (pow c 2))> |
#<alt (/ (* b d) (pow c 2))> |
#<alt (/ (* b d) (pow c 2))> |
#<alt (/ (* b d) (pow c 2))> |
#<alt (/ (* b d) (pow c 2))> |
#<alt (/ (* b d) (pow c 2))> |
#<alt (/ (* b d) (pow c 2))> |
#<alt (/ (* b d) (pow c 2))> |
#<alt (/ (* b d) (pow c 2))> |
#<alt (/ (* b d) (pow c 2))> |
#<alt (* b d)> |
#<alt (* b d)> |
#<alt (* b d)> |
#<alt (* b d)> |
#<alt (* b d)> |
#<alt (* b d)> |
#<alt (* b d)> |
#<alt (* b d)> |
#<alt (* b d)> |
#<alt (* b d)> |
#<alt (* b d)> |
#<alt (* b d)> |
#<alt (* b d)> |
#<alt (* b d)> |
#<alt (* b d)> |
#<alt (* b d)> |
#<alt (* b d)> |
#<alt (* b d)> |
#<alt (* b d)> |
#<alt (* b d)> |
#<alt (* b d)> |
#<alt (* b d)> |
#<alt (* b d)> |
#<alt (* b d)> |
#<alt (pow c 2)> |
#<alt (pow c 2)> |
#<alt (pow c 2)> |
#<alt (pow c 2)> |
#<alt (pow c 2)> |
#<alt (pow c 2)> |
#<alt (pow c 2)> |
#<alt (pow c 2)> |
#<alt (pow c 2)> |
#<alt (pow c 2)> |
#<alt (pow c 2)> |
#<alt (pow c 2)> |
#<alt (/ (* a c) (+ (pow c 2) (pow d 2)))> |
#<alt (/ (* a c) (+ (pow c 2) (pow d 2)))> |
#<alt (/ (* a c) (+ (pow c 2) (pow d 2)))> |
#<alt (/ (* a c) (+ (pow c 2) (pow d 2)))> |
#<alt (/ (* a c) (+ (pow c 2) (pow d 2)))> |
#<alt (/ (* a c) (+ (pow c 2) (pow d 2)))> |
#<alt (/ (* a c) (+ (pow c 2) (pow d 2)))> |
#<alt (/ (* a c) (+ (pow c 2) (pow d 2)))> |
#<alt (/ (* a c) (+ (pow c 2) (pow d 2)))> |
#<alt (/ (* a c) (+ (pow c 2) (pow d 2)))> |
#<alt (/ (* a c) (+ (pow c 2) (pow d 2)))> |
#<alt (/ (* a c) (+ (pow c 2) (pow d 2)))> |
#<alt (/ (* a c) (pow d 2))> |
#<alt (* c (+ (* -1 (/ (* a (pow c 2)) (pow d 4))) (/ a (pow d 2))))> |
#<alt (* c (+ (* (pow c 2) (- (/ (* a (pow c 2)) (pow d 6)) (/ a (pow d 4)))) (/ a (pow d 2))))> |
#<alt (* c (+ (* (pow c 2) (- (* (pow c 2) (- (* -1 (/ (* a (pow c 2)) (pow d 8))) (* -1 (/ a (pow d 6))))) (/ a (pow d 4)))) (/ a (pow d 2))))> |
#<alt (/ a c)> |
#<alt (/ (+ a (* -1 (/ (* a (pow d 2)) (pow c 2)))) c)> |
#<alt (/ (- (+ a (/ (* a (pow d 4)) (pow c 4))) (/ (* a (pow d 2)) (pow c 2))) c)> |
#<alt (/ (- (+ a (* -1 (/ (* a (pow d 6)) (pow c 6)))) (+ (* -1 (/ (* a (pow d 4)) (pow c 4))) (/ (* a (pow d 2)) (pow c 2)))) c)> |
#<alt (/ a c)> |
#<alt (* -1 (/ (+ (* -1 a) (/ (* a (pow d 2)) (pow c 2))) c))> |
#<alt (* -1 (/ (+ (* -1 a) (+ (* -1 (/ (* a (pow d 4)) (pow c 4))) (/ (* a (pow d 2)) (pow c 2)))) c))> |
#<alt (* -1 (/ (+ (* -1 a) (+ (* -1 (/ (* a (pow d 4)) (pow c 4))) (+ (/ (* a (pow d 2)) (pow c 2)) (/ (* a (pow d 6)) (pow c 6))))) c))> |
#<alt (/ a c)> |
#<alt (+ (* -1 (/ (* a (pow d 2)) (pow c 3))) (/ a c))> |
#<alt (+ (* (pow d 2) (- (/ (* a (pow d 2)) (pow c 5)) (/ a (pow c 3)))) (/ a c))> |
#<alt (+ (* (pow d 2) (- (* (pow d 2) (- (* -1 (/ (* a (pow d 2)) (pow c 7))) (* -1 (/ a (pow c 5))))) (/ a (pow c 3)))) (/ a c))> |
#<alt (/ (* a c) (pow d 2))> |
#<alt (/ (+ (* -1 (/ (* a (pow c 3)) (pow d 2))) (* a c)) (pow d 2))> |
#<alt (/ (- (+ (* a c) (/ (* a (pow c 5)) (pow d 4))) (/ (* a (pow c 3)) (pow d 2))) (pow d 2))> |
#<alt (/ (- (+ (* -1 (/ (* a (pow c 7)) (pow d 6))) (* a c)) (+ (* -1 (/ (* a (pow c 5)) (pow d 4))) (/ (* a (pow c 3)) (pow d 2)))) (pow d 2))> |
#<alt (/ (* a c) (pow d 2))> |
#<alt (/ (+ (* -1 (/ (* a (pow c 3)) (pow d 2))) (* a c)) (pow d 2))> |
#<alt (/ (- (+ (* a c) (/ (* a (pow c 5)) (pow d 4))) (/ (* a (pow c 3)) (pow d 2))) (pow d 2))> |
#<alt (/ (- (+ (* -1 (/ (* a (pow c 7)) (pow d 6))) (* a c)) (+ (* -1 (/ (* a (pow c 5)) (pow d 4))) (/ (* a (pow c 3)) (pow d 2)))) (pow d 2))> |
#<alt (* a c)> |
#<alt (* a c)> |
#<alt (* a c)> |
#<alt (* a c)> |
#<alt (* a c)> |
#<alt (* a c)> |
#<alt (* a c)> |
#<alt (* a c)> |
#<alt (* a c)> |
#<alt (* a c)> |
#<alt (* a c)> |
#<alt (* a c)> |
#<alt (* a c)> |
#<alt (* a c)> |
#<alt (* a c)> |
#<alt (* a c)> |
#<alt (* a c)> |
#<alt (* a c)> |
#<alt (* a c)> |
#<alt (* a c)> |
#<alt (* a c)> |
#<alt (* a c)> |
#<alt (* a c)> |
#<alt (* a c)> |
#<alt (pow c 2)> |
#<alt (+ (pow c 2) (pow d 2))> |
#<alt (+ (pow c 2) (pow d 2))> |
#<alt (+ (pow c 2) (pow d 2))> |
#<alt (pow d 2)> |
#<alt (* (pow d 2) (+ 1 (/ (pow c 2) (pow d 2))))> |
#<alt (* (pow d 2) (+ 1 (/ (pow c 2) (pow d 2))))> |
#<alt (* (pow d 2) (+ 1 (/ (pow c 2) (pow d 2))))> |
#<alt (pow d 2)> |
#<alt (* (pow d 2) (+ 1 (/ (pow c 2) (pow d 2))))> |
#<alt (* (pow d 2) (+ 1 (/ (pow c 2) (pow d 2))))> |
#<alt (* (pow d 2) (+ 1 (/ (pow c 2) (pow d 2))))> |
#<alt (pow d 2)> |
#<alt (+ (pow c 2) (pow d 2))> |
#<alt (+ (pow c 2) (pow d 2))> |
#<alt (+ (pow c 2) (pow d 2))> |
#<alt (pow c 2)> |
#<alt (* (pow c 2) (+ 1 (/ (pow d 2) (pow c 2))))> |
#<alt (* (pow c 2) (+ 1 (/ (pow d 2) (pow c 2))))> |
#<alt (* (pow c 2) (+ 1 (/ (pow d 2) (pow c 2))))> |
#<alt (pow c 2)> |
#<alt (* (pow c 2) (+ 1 (/ (pow d 2) (pow c 2))))> |
#<alt (* (pow c 2) (+ 1 (/ (pow d 2) (pow c 2))))> |
#<alt (* (pow c 2) (+ 1 (/ (pow d 2) (pow c 2))))> |
#<alt (/ b d)> |
#<alt (+ (/ b d) (/ (* a c) (pow d 2)))> |
#<alt (+ (/ b d) (/ (* a c) (pow d 2)))> |
#<alt (+ (/ b d) (/ (* a c) (pow d 2)))> |
#<alt (/ (* a c) (pow d 2))> |
#<alt (* c (+ (/ a (pow d 2)) (/ b (* c d))))> |
#<alt (* c (+ (/ a (pow d 2)) (/ b (* c d))))> |
#<alt (* c (+ (/ a (pow d 2)) (/ b (* c d))))> |
#<alt (/ (* a c) (pow d 2))> |
#<alt (* -1 (* c (+ (* -1 (/ a (pow d 2))) (* -1 (/ b (* c d))))))> |
#<alt (* -1 (* c (+ (* -1 (/ a (pow d 2))) (* -1 (/ b (* c d))))))> |
#<alt (* -1 (* c (+ (* -1 (/ a (pow d 2))) (* -1 (/ b (* c d))))))> |
#<alt (/ b d)> |
#<alt (+ (/ b d) (/ (* a c) (pow d 2)))> |
#<alt (+ (/ b d) (/ (* a c) (pow d 2)))> |
#<alt (+ (/ b d) (/ (* a c) (pow d 2)))> |
#<alt (/ (* a c) (pow d 2))> |
#<alt (* a (+ (/ b (* a d)) (/ c (pow d 2))))> |
#<alt (* a (+ (/ b (* a d)) (/ c (pow d 2))))> |
#<alt (* a (+ (/ b (* a d)) (/ c (pow d 2))))> |
#<alt (/ (* a c) (pow d 2))> |
#<alt (* -1 (* a (+ (* -1 (/ b (* a d))) (* -1 (/ c (pow d 2))))))> |
#<alt (* -1 (* a (+ (* -1 (/ b (* a d))) (* -1 (/ c (pow d 2))))))> |
#<alt (* -1 (* a (+ (* -1 (/ b (* a d))) (* -1 (/ c (pow d 2))))))> |
#<alt (/ (* a c) (pow d 2))> |
#<alt (/ (+ (* a c) (* b d)) (pow d 2))> |
#<alt (/ (+ (* a c) (* b d)) (pow d 2))> |
#<alt (/ (+ (* a c) (* b d)) (pow d 2))> |
#<alt (/ b d)> |
#<alt (/ (+ b (/ (* a c) d)) d)> |
#<alt (/ (+ b (/ (* a c) d)) d)> |
#<alt (/ (+ b (/ (* a c) d)) d)> |
#<alt (/ b d)> |
#<alt (* -1 (/ (+ (* -1 b) (* -1 (/ (* a c) d))) d))> |
#<alt (* -1 (/ (+ (* -1 b) (* -1 (/ (* a c) d))) d))> |
#<alt (* -1 (/ (+ (* -1 b) (* -1 (/ (* a c) d))) d))> |
#<alt (/ (* a c) (pow d 2))> |
#<alt (+ (/ b d) (/ (* a c) (pow d 2)))> |
#<alt (+ (/ b d) (/ (* a c) (pow d 2)))> |
#<alt (+ (/ b d) (/ (* a c) (pow d 2)))> |
#<alt (/ b d)> |
#<alt (* b (+ (/ 1 d) (/ (* a c) (* b (pow d 2)))))> |
#<alt (* b (+ (/ 1 d) (/ (* a c) (* b (pow d 2)))))> |
#<alt (* b (+ (/ 1 d) (/ (* a c) (* b (pow d 2)))))> |
#<alt (/ b d)> |
#<alt (* -1 (* b (- (* -1 (/ (* a c) (* b (pow d 2)))) (/ 1 d))))> |
#<alt (* -1 (* b (- (* -1 (/ (* a c) (* b (pow d 2)))) (/ 1 d))))> |
#<alt (* -1 (* b (- (* -1 (/ (* a c) (* b (pow d 2)))) (/ 1 d))))> |
#<alt b> |
#<alt (+ b (/ (* a c) d))> |
#<alt (+ b (/ (* a c) d))> |
#<alt (+ b (/ (* a c) d))> |
#<alt (/ (* a c) d)> |
#<alt (* c (+ (/ a d) (/ b c)))> |
#<alt (* c (+ (/ a d) (/ b c)))> |
#<alt (* c (+ (/ a d) (/ b c)))> |
#<alt (/ (* a c) d)> |
#<alt (* -1 (* c (+ (* -1 (/ a d)) (* -1 (/ b c)))))> |
#<alt (* -1 (* c (+ (* -1 (/ a d)) (* -1 (/ b c)))))> |
#<alt (* -1 (* c (+ (* -1 (/ a d)) (* -1 (/ b c)))))> |
#<alt b> |
#<alt (+ b (/ (* a c) d))> |
#<alt (+ b (/ (* a c) d))> |
#<alt (+ b (/ (* a c) d))> |
#<alt (/ (* a c) d)> |
#<alt (* a (+ (/ b a) (/ c d)))> |
#<alt (* a (+ (/ b a) (/ c d)))> |
#<alt (* a (+ (/ b a) (/ c d)))> |
#<alt (/ (* a c) d)> |
#<alt (* -1 (* a (+ (* -1 (/ b a)) (* -1 (/ c d)))))> |
#<alt (* -1 (* a (+ (* -1 (/ b a)) (* -1 (/ c d)))))> |
#<alt (* -1 (* a (+ (* -1 (/ b a)) (* -1 (/ c d)))))> |
#<alt (/ (* a c) d)> |
#<alt (/ (+ (* a c) (* b d)) d)> |
#<alt (/ (+ (* a c) (* b d)) d)> |
#<alt (/ (+ (* a c) (* b d)) d)> |
#<alt b> |
#<alt (+ b (/ (* a c) d))> |
#<alt (+ b (/ (* a c) d))> |
#<alt (+ b (/ (* a c) d))> |
#<alt b> |
#<alt (+ b (/ (* a c) d))> |
#<alt (+ b (/ (* a c) d))> |
#<alt (+ b (/ (* a c) d))> |
#<alt (/ (* a c) d)> |
#<alt (+ b (/ (* a c) d))> |
#<alt (+ b (/ (* a c) d))> |
#<alt (+ b (/ (* a c) d))> |
#<alt b> |
#<alt (* b (+ 1 (/ (* a c) (* b d))))> |
#<alt (* b (+ 1 (/ (* a c) (* b d))))> |
#<alt (* b (+ 1 (/ (* a c) (* b d))))> |
#<alt b> |
#<alt (* -1 (* b (- (* -1 (/ (* a c) (* b d))) 1)))> |
#<alt (* -1 (* b (- (* -1 (/ (* a c) (* b d))) 1)))> |
#<alt (* -1 (* b (- (* -1 (/ (* a c) (* b d))) 1)))> |
#<alt (/ a d)> |
#<alt (/ a d)> |
#<alt (/ a d)> |
#<alt (/ a d)> |
#<alt (/ a d)> |
#<alt (/ a d)> |
#<alt (/ a d)> |
#<alt (/ a d)> |
#<alt (/ a d)> |
#<alt (/ a d)> |
#<alt (/ a d)> |
#<alt (/ a d)> |
#<alt (/ a d)> |
#<alt (/ a d)> |
#<alt (/ a d)> |
#<alt (/ a d)> |
#<alt (/ a d)> |
#<alt (/ a d)> |
#<alt (/ a d)> |
#<alt (/ a d)> |
#<alt (/ a d)> |
#<alt (/ a d)> |
#<alt (/ a d)> |
#<alt (/ a d)> |
108 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 2.0ms | b | @ | 0 | (/ b c) |
| 1.0ms | d | @ | -inf | (/ (+ (* c (/ a d)) b) d) |
| 0.0ms | d | @ | inf | (/ (+ (* c (/ a d)) b) d) |
| 0.0ms | c | @ | -inf | (/ (+ (* c (/ a d)) b) d) |
| 0.0ms | a | @ | -inf | (/ (+ (* c (/ a d)) b) d) |
| 1× | batch-egg-rewrite |
| 6 806× | accelerator-lowering-fma.f32 |
| 6 806× | accelerator-lowering-fma.f64 |
| 6 000× | *-lowering-*.f32 |
| 6 000× | *-lowering-*.f64 |
| 3 842× | /-lowering-/.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 22 | 80 |
| 1 | 128 | 78 |
| 2 | 917 | 78 |
| 0 | 8792 | 72 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(/ (+ (* (/ b c) d) a) c) |
(+ (* (/ b c) d) a) |
(/ b c) |
(* (/ 1 c) a) |
(/ 1 c) |
(/ (* b d) (* c c)) |
(* b d) |
(* c c) |
(/ (* a c) (+ (* d d) (* c c))) |
(* a c) |
(+ (* d d) (* c c)) |
(/ (+ (* c (/ a d)) b) d) |
(+ (* c (/ a d)) b) |
(/ a d) |
| Outputs |
|---|
(+.f64 (/.f64 a c) (/.f64 (*.f64 b d) (*.f64 c c))) |
(+.f64 (/.f64 (*.f64 b d) (*.f64 c c)) (/.f64 a c)) |
(exp.f64 (*.f64 (log.f64 (/.f64 c (fma.f64 b (/.f64 d c) a))) #s(literal -1 binary64))) |
(-.f64 #s(literal 0 binary64) (neg.f64 (/.f64 (fma.f64 b (/.f64 d c) a) c))) |
(-.f64 (/.f64 (/.f64 (/.f64 (*.f64 b (*.f64 d (*.f64 b d))) (*.f64 c c)) (-.f64 (/.f64 (*.f64 b d) c) a)) c) (/.f64 (/.f64 (*.f64 a a) (-.f64 (/.f64 (*.f64 b d) c) a)) c)) |
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 c)) (neg.f64 (/.f64 (fma.f64 b (/.f64 d c) a) c))) |
(-.f64 (/.f64 (/.f64 (*.f64 b (*.f64 d (*.f64 b d))) (*.f64 c c)) (*.f64 c (-.f64 (/.f64 (*.f64 b d) c) a))) (/.f64 (*.f64 a a) (*.f64 c (-.f64 (/.f64 (*.f64 b d) c) a)))) |
(fma.f64 b (/.f64 d (*.f64 c c)) (/.f64 a c)) |
(fma.f64 (/.f64 b c) (/.f64 d c) (/.f64 a c)) |
(fma.f64 (/.f64 b c) (/.f64 (/.f64 d c) #s(literal 1 binary64)) (/.f64 a c)) |
(fma.f64 (/.f64 b c) (/.f64 (*.f64 (/.f64 #s(literal 1 binary64) c) d) #s(literal 1 binary64)) (/.f64 a c)) |
(fma.f64 d (/.f64 b (*.f64 c c)) (/.f64 a c)) |
(fma.f64 d (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 c c)) b) (/.f64 a c)) |
(fma.f64 d (*.f64 (/.f64 #s(literal 1 binary64) c) (/.f64 b c)) (/.f64 a c)) |
(fma.f64 d (*.f64 (neg.f64 b) (/.f64 #s(literal -1 binary64) (*.f64 c c))) (/.f64 a c)) |
(fma.f64 (/.f64 (*.f64 b d) c) (/.f64 #s(literal 1 binary64) c) (/.f64 a c)) |
(fma.f64 (/.f64 (*.f64 b d) c) (/.f64 (/.f64 #s(literal 1 binary64) c) #s(literal 1 binary64)) (/.f64 a c)) |
(fma.f64 a (/.f64 #s(literal 1 binary64) c) (/.f64 (*.f64 b d) (*.f64 c c))) |
(fma.f64 #s(literal 1 binary64) (/.f64 a c) (/.f64 (*.f64 b d) (*.f64 c c))) |
(fma.f64 #s(literal 1 binary64) (/.f64 (*.f64 b d) (*.f64 c c)) (/.f64 a c)) |
(fma.f64 (/.f64 #s(literal 1 binary64) c) (/.f64 (*.f64 b d) c) (/.f64 a c)) |
(fma.f64 (/.f64 #s(literal 1 binary64) c) a (/.f64 (*.f64 b d) (*.f64 c c))) |
(fma.f64 (/.f64 #s(literal 1 binary64) c) (/.f64 a #s(literal 1 binary64)) (/.f64 (*.f64 b d) (*.f64 c c))) |
(fma.f64 (/.f64 #s(literal 1 binary64) c) (/.f64 (/.f64 d c) (/.f64 #s(literal 1 binary64) b)) (/.f64 a c)) |
(fma.f64 (/.f64 a c) #s(literal 1 binary64) (/.f64 (*.f64 b d) (*.f64 c c))) |
(fma.f64 (*.f64 b d) (/.f64 #s(literal 1 binary64) (*.f64 c c)) (/.f64 a c)) |
(fma.f64 (/.f64 (*.f64 b d) (*.f64 c c)) #s(literal 1 binary64) (/.f64 a c)) |
(fma.f64 #s(literal -1 binary64) (/.f64 (*.f64 d (neg.f64 b)) (*.f64 c c)) (/.f64 a c)) |
(fma.f64 #s(literal -1 binary64) (*.f64 (/.f64 #s(literal -1 binary64) c) a) (/.f64 (*.f64 b d) (*.f64 c c))) |
(fma.f64 (*.f64 d (neg.f64 b)) (/.f64 #s(literal -1 binary64) (*.f64 c c)) (/.f64 a c)) |
(fma.f64 (neg.f64 b) (*.f64 (/.f64 #s(literal -1 binary64) c) (/.f64 d c)) (/.f64 a c)) |
(fma.f64 (neg.f64 b) (*.f64 d (/.f64 #s(literal -1 binary64) (*.f64 c c))) (/.f64 a c)) |
(fma.f64 (neg.f64 d) (*.f64 b (/.f64 #s(literal -1 binary64) (*.f64 c c))) (/.f64 a c)) |
(fma.f64 (neg.f64 a) (/.f64 #s(literal -1 binary64) c) (/.f64 (*.f64 b d) (*.f64 c c))) |
(fma.f64 (/.f64 d c) (/.f64 b c) (/.f64 a c)) |
(fma.f64 (/.f64 d c) (/.f64 (/.f64 b c) #s(literal 1 binary64)) (/.f64 a c)) |
(fma.f64 (/.f64 #s(literal 1 binary64) (*.f64 c c)) (*.f64 b d) (/.f64 a c)) |
(fma.f64 (/.f64 #s(literal 1 binary64) (*.f64 c c)) (pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 b d)) #s(literal -1 binary64)) (/.f64 a c)) |
(fma.f64 (/.f64 d (*.f64 c c)) b (/.f64 a c)) |
(fma.f64 (/.f64 (*.f64 d (neg.f64 b)) c) (/.f64 #s(literal -1 binary64) c) (/.f64 a c)) |
(fma.f64 (/.f64 #s(literal -1 binary64) c) (/.f64 (*.f64 d (neg.f64 b)) c) (/.f64 a c)) |
(fma.f64 (pow.f64 c #s(literal -1/2 binary64)) (*.f64 (pow.f64 c #s(literal -1/2 binary64)) a) (/.f64 (*.f64 b d) (*.f64 c c))) |
(fma.f64 (/.f64 (neg.f64 b) c) (/.f64 d (neg.f64 c)) (/.f64 a c)) |
(fma.f64 (/.f64 (neg.f64 b) c) (/.f64 (neg.f64 d) c) (/.f64 a c)) |
(fma.f64 (/.f64 b (*.f64 c c)) d (/.f64 a c)) |
(fma.f64 (*.f64 #s(literal 1 binary64) (*.f64 d (neg.f64 b))) (/.f64 #s(literal -1 binary64) (*.f64 c c)) (/.f64 a c)) |
(fma.f64 (/.f64 d (neg.f64 c)) (/.f64 (neg.f64 b) c) (/.f64 a c)) |
(fma.f64 (/.f64 (neg.f64 d) c) (/.f64 (neg.f64 b) c) (/.f64 a c)) |
(fma.f64 (/.f64 b #s(literal -1 binary64)) (/.f64 (neg.f64 d) (*.f64 c c)) (/.f64 a c)) |
(fma.f64 (/.f64 d #s(literal -1 binary64)) (/.f64 (neg.f64 b) (*.f64 c c)) (/.f64 a c)) |
(fma.f64 (/.f64 a #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) c) (/.f64 (*.f64 b d) (*.f64 c c))) |
(fma.f64 (/.f64 (neg.f64 b) #s(literal -1 binary64)) (/.f64 d (*.f64 c c)) (/.f64 a c)) |
(fma.f64 (pow.f64 (*.f64 c (/.f64 c (*.f64 b d))) #s(literal -1/2 binary64)) (pow.f64 (*.f64 c (/.f64 c (*.f64 b d))) #s(literal -1/2 binary64)) (/.f64 a c)) |
(fma.f64 (*.f64 (/.f64 (*.f64 b d) c) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) c) (/.f64 a c)) |
(fma.f64 (*.f64 (/.f64 (*.f64 b d) c) (pow.f64 c #s(literal -1/2 binary64))) (pow.f64 c #s(literal -1/2 binary64)) (/.f64 a c)) |
(fma.f64 (*.f64 (/.f64 d c) (neg.f64 b)) (/.f64 #s(literal -1 binary64) c) (/.f64 a c)) |
(fma.f64 (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 c c)) b) d (/.f64 a c)) |
(fma.f64 (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 c c)) d) b (/.f64 a c)) |
(fma.f64 (*.f64 a (pow.f64 c #s(literal -1/2 binary64))) (pow.f64 c #s(literal -1/2 binary64)) (/.f64 (*.f64 b d) (*.f64 c c))) |
(neg.f64 (neg.f64 (/.f64 (fma.f64 b (/.f64 d c) a) c))) |
(neg.f64 (*.f64 (/.f64 #s(literal -1 binary64) c) (fma.f64 b (/.f64 d c) a))) |
(neg.f64 (*.f64 #s(literal 1 binary64) (neg.f64 (/.f64 (fma.f64 b (/.f64 d c) a) c)))) |
(neg.f64 (/.f64 #s(literal -1 binary64) (/.f64 c (fma.f64 b (/.f64 d c) a)))) |
(neg.f64 (/.f64 (*.f64 (fma.f64 b (/.f64 d c) a) #s(literal -1 binary64)) c)) |
(/.f64 (fma.f64 b (/.f64 d c) a) c) |
(/.f64 #s(literal 1 binary64) (/.f64 c (fma.f64 b (/.f64 d c) a))) |
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 b (/.f64 d c) a)) c)) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 c (fma.f64 (*.f64 b d) (/.f64 (*.f64 b d) (*.f64 c c)) (*.f64 a (-.f64 a (/.f64 (*.f64 b d) c))))) (fma.f64 a (*.f64 a a) (/.f64 (*.f64 (*.f64 b d) (*.f64 b (*.f64 d (*.f64 b d)))) (*.f64 c (*.f64 c c)))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 c (-.f64 (/.f64 (*.f64 b d) c) a)) (-.f64 (/.f64 (*.f64 b (*.f64 d (*.f64 b d))) (*.f64 c c)) (*.f64 a a)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (fma.f64 (*.f64 b d) (/.f64 (*.f64 b d) (*.f64 c c)) (*.f64 a (-.f64 a (/.f64 (*.f64 b d) c)))) c) (fma.f64 a (*.f64 a a) (/.f64 (*.f64 (*.f64 b d) (*.f64 b (*.f64 d (*.f64 b d)))) (*.f64 c (*.f64 c c)))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (fma.f64 (*.f64 b d) (/.f64 (*.f64 b d) (*.f64 c c)) (*.f64 a (-.f64 a (/.f64 (*.f64 b d) c)))) (neg.f64 c)) (*.f64 (fma.f64 a (*.f64 a a) (/.f64 (*.f64 (*.f64 b d) (*.f64 b (*.f64 d (*.f64 b d)))) (*.f64 c (*.f64 c c)))) #s(literal -1 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (-.f64 (/.f64 (*.f64 b d) c) a) c) (-.f64 (/.f64 (*.f64 b (*.f64 d (*.f64 b d))) (*.f64 c c)) (*.f64 a a)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 (*.f64 (-.f64 (/.f64 (*.f64 b d) c) a) c)) (*.f64 (-.f64 (/.f64 (*.f64 b (*.f64 d (*.f64 b d))) (*.f64 c c)) (*.f64 a a)) #s(literal -1 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 c) (*.f64 (fma.f64 b (/.f64 d c) a) #s(literal -1 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (*.f64 b d) (/.f64 (*.f64 b d) (*.f64 c c)) (*.f64 a (-.f64 a (/.f64 (*.f64 b d) c)))) (/.f64 (fma.f64 a (*.f64 a a) (/.f64 (*.f64 (*.f64 b d) (*.f64 b (*.f64 d (*.f64 b d)))) (*.f64 c (*.f64 c c)))) c))) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (/.f64 (*.f64 b d) c) a) (/.f64 (-.f64 (/.f64 (*.f64 b (*.f64 d (*.f64 b d))) (*.f64 c c)) (*.f64 a a)) c))) |
(/.f64 (/.f64 #s(literal 1 binary64) c) (/.f64 #s(literal 1 binary64) (fma.f64 b (/.f64 d c) a))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 c (fma.f64 b (/.f64 d c) a)))) |
(/.f64 #s(literal -1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 b (/.f64 d c) a)) (neg.f64 c))) |
(/.f64 (neg.f64 (fma.f64 b (/.f64 d c) a)) (neg.f64 c)) |
(/.f64 (fma.f64 a (*.f64 a a) (/.f64 (*.f64 (*.f64 b d) (*.f64 b (*.f64 d (*.f64 b d)))) (*.f64 c (*.f64 c c)))) (*.f64 (fma.f64 (*.f64 b d) (/.f64 (*.f64 b d) (*.f64 c c)) (*.f64 a (-.f64 a (/.f64 (*.f64 b d) c)))) c)) |
(/.f64 (fma.f64 a (*.f64 a a) (/.f64 (*.f64 (*.f64 b d) (*.f64 b (*.f64 d (*.f64 b d)))) (*.f64 c (*.f64 c c)))) (*.f64 c (fma.f64 (*.f64 b d) (/.f64 (*.f64 b d) (*.f64 c c)) (*.f64 a (-.f64 a (/.f64 (*.f64 b d) c)))))) |
(/.f64 (fma.f64 a (*.f64 a a) (/.f64 (*.f64 (*.f64 b d) (*.f64 b (*.f64 d (*.f64 b d)))) (*.f64 c (*.f64 c c)))) (*.f64 (fma.f64 a a (*.f64 (/.f64 (*.f64 b d) c) (-.f64 (/.f64 (*.f64 b d) c) a))) c)) |
(/.f64 (fma.f64 a (*.f64 a a) (/.f64 (*.f64 (*.f64 b d) (*.f64 b (*.f64 d (*.f64 b d)))) (*.f64 c (*.f64 c c)))) (*.f64 (neg.f64 (fma.f64 (*.f64 b d) (/.f64 (*.f64 b d) (*.f64 c c)) (*.f64 a (-.f64 a (/.f64 (*.f64 b d) c))))) (neg.f64 c))) |
(/.f64 (-.f64 (/.f64 (*.f64 b (*.f64 d (*.f64 b d))) (*.f64 c c)) (*.f64 a a)) (*.f64 (-.f64 (/.f64 (*.f64 b d) c) a) c)) |
(/.f64 (-.f64 (/.f64 (*.f64 b (*.f64 d (*.f64 b d))) (*.f64 c c)) (*.f64 a a)) (*.f64 c (-.f64 (/.f64 (*.f64 b d) c) a))) |
(/.f64 (-.f64 (/.f64 (*.f64 b (*.f64 d (*.f64 b d))) (*.f64 c c)) (*.f64 a a)) (*.f64 (fma.f64 (/.f64 b c) (neg.f64 d) a) (neg.f64 c))) |
(/.f64 (*.f64 (fma.f64 a (*.f64 a a) (/.f64 (*.f64 (*.f64 b d) (*.f64 b (*.f64 d (*.f64 b d)))) (*.f64 c (*.f64 c c)))) #s(literal -1 binary64)) (*.f64 (fma.f64 (*.f64 b d) (/.f64 (*.f64 b d) (*.f64 c c)) (*.f64 a (-.f64 a (/.f64 (*.f64 b d) c)))) (neg.f64 c))) |
(/.f64 (*.f64 (fma.f64 a (*.f64 a a) (/.f64 (*.f64 (*.f64 b d) (*.f64 b (*.f64 d (*.f64 b d)))) (*.f64 c (*.f64 c c)))) #s(literal -1 binary64)) (*.f64 (fma.f64 a a (*.f64 (/.f64 (*.f64 b d) c) (-.f64 (/.f64 (*.f64 b d) c) a))) (neg.f64 c))) |
(/.f64 (*.f64 (-.f64 (/.f64 (*.f64 b (*.f64 d (*.f64 b d))) (*.f64 c c)) (*.f64 a a)) #s(literal -1 binary64)) (neg.f64 (*.f64 (-.f64 (/.f64 (*.f64 b d) c) a) c))) |
(/.f64 (neg.f64 (fma.f64 a (*.f64 a a) (/.f64 (*.f64 (*.f64 b d) (*.f64 b (*.f64 d (*.f64 b d)))) (*.f64 c (*.f64 c c))))) (*.f64 (fma.f64 (*.f64 b d) (/.f64 (*.f64 b d) (*.f64 c c)) (*.f64 a (-.f64 a (/.f64 (*.f64 b d) c)))) (neg.f64 c))) |
(/.f64 (neg.f64 (fma.f64 a (*.f64 a a) (/.f64 (*.f64 (*.f64 b d) (*.f64 b (*.f64 d (*.f64 b d)))) (*.f64 c (*.f64 c c))))) (*.f64 (neg.f64 c) (fma.f64 (*.f64 b d) (/.f64 (*.f64 b d) (*.f64 c c)) (*.f64 a (-.f64 a (/.f64 (*.f64 b d) c)))))) |
(/.f64 (neg.f64 (fma.f64 a (*.f64 a a) (/.f64 (*.f64 (*.f64 b d) (*.f64 b (*.f64 d (*.f64 b d)))) (*.f64 c (*.f64 c c))))) (*.f64 (neg.f64 c) (fma.f64 a a (*.f64 (/.f64 (*.f64 b d) c) (-.f64 (/.f64 (*.f64 b d) c) a))))) |
(/.f64 (neg.f64 (fma.f64 a (*.f64 a a) (/.f64 (*.f64 (*.f64 b d) (*.f64 b (*.f64 d (*.f64 b d)))) (*.f64 c (*.f64 c c))))) (neg.f64 (*.f64 c (fma.f64 (*.f64 b d) (/.f64 (*.f64 b d) (*.f64 c c)) (*.f64 a (-.f64 a (/.f64 (*.f64 b d) c))))))) |
(/.f64 (*.f64 (fma.f64 b (/.f64 d c) a) (fma.f64 (/.f64 b c) (neg.f64 d) a)) (neg.f64 (*.f64 (-.f64 (/.f64 (*.f64 b d) c) a) c))) |
(/.f64 (*.f64 (fma.f64 b (/.f64 d c) a) (fma.f64 (/.f64 b c) (neg.f64 d) a)) (*.f64 (neg.f64 c) (-.f64 (/.f64 (*.f64 b d) c) a))) |
(/.f64 (*.f64 (fma.f64 b (/.f64 d c) a) (fma.f64 (/.f64 b c) (neg.f64 d) a)) (neg.f64 (*.f64 c (-.f64 (/.f64 (*.f64 b d) c) a)))) |
(/.f64 (*.f64 (fma.f64 b (/.f64 d c) a) #s(literal -1 binary64)) (neg.f64 c)) |
(/.f64 (/.f64 (fma.f64 a (*.f64 a a) (/.f64 (*.f64 (*.f64 b d) (*.f64 b (*.f64 d (*.f64 b d)))) (*.f64 c (*.f64 c c)))) c) (fma.f64 (*.f64 b d) (/.f64 (*.f64 b d) (*.f64 c c)) (*.f64 a (-.f64 a (/.f64 (*.f64 b d) c))))) |
(/.f64 (/.f64 (-.f64 (/.f64 (*.f64 b (*.f64 d (*.f64 b d))) (*.f64 c c)) (*.f64 a a)) c) (-.f64 (/.f64 (*.f64 b d) c) a)) |
(/.f64 (*.f64 (neg.f64 (fma.f64 a (*.f64 a a) (/.f64 (*.f64 (*.f64 b d) (*.f64 b (*.f64 d (*.f64 b d)))) (*.f64 c (*.f64 c c))))) #s(literal 1 binary64)) (*.f64 (fma.f64 (*.f64 b d) (/.f64 (*.f64 b d) (*.f64 c c)) (*.f64 a (-.f64 a (/.f64 (*.f64 b d) c)))) (neg.f64 c))) |
(/.f64 (*.f64 (neg.f64 (fma.f64 a (*.f64 a a) (/.f64 (*.f64 (*.f64 b d) (*.f64 b (*.f64 d (*.f64 b d)))) (*.f64 c (*.f64 c c))))) #s(literal 1 binary64)) (*.f64 (neg.f64 (fma.f64 (*.f64 b d) (/.f64 (*.f64 b d) (*.f64 c c)) (*.f64 a (-.f64 a (/.f64 (*.f64 b d) c))))) c)) |
(/.f64 (*.f64 (neg.f64 (fma.f64 a (*.f64 a a) (/.f64 (*.f64 (*.f64 b d) (*.f64 b (*.f64 d (*.f64 b d)))) (*.f64 c (*.f64 c c))))) #s(literal -1 binary64)) (*.f64 (neg.f64 (fma.f64 (*.f64 b d) (/.f64 (*.f64 b d) (*.f64 c c)) (*.f64 a (-.f64 a (/.f64 (*.f64 b d) c))))) (neg.f64 c))) |
(/.f64 (*.f64 (*.f64 (fma.f64 b (/.f64 d c) a) (fma.f64 (/.f64 b c) (neg.f64 d) a)) #s(literal 1 binary64)) (neg.f64 (*.f64 (-.f64 (/.f64 (*.f64 b d) c) a) c))) |
(/.f64 (*.f64 (*.f64 (fma.f64 b (/.f64 d c) a) (fma.f64 (/.f64 b c) (neg.f64 d) a)) #s(literal 1 binary64)) (*.f64 (fma.f64 (/.f64 b c) (neg.f64 d) a) c)) |
(/.f64 (*.f64 (*.f64 (fma.f64 b (/.f64 d c) a) (fma.f64 (/.f64 b c) (neg.f64 d) a)) #s(literal -1 binary64)) (*.f64 (fma.f64 (/.f64 b c) (neg.f64 d) a) (neg.f64 c))) |
(/.f64 (*.f64 (-.f64 (*.f64 a a) (/.f64 (*.f64 b (*.f64 d (*.f64 b d))) (*.f64 c c))) #s(literal 1 binary64)) (*.f64 (-.f64 a (/.f64 (*.f64 b d) c)) c)) |
(/.f64 (*.f64 (-.f64 (*.f64 a a) (/.f64 (*.f64 b (*.f64 d (*.f64 b d))) (*.f64 c c))) #s(literal -1 binary64)) (*.f64 (-.f64 a (/.f64 (*.f64 b d) c)) (neg.f64 c))) |
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(/.f64 (*.f64 (-.f64 (/.f64 (*.f64 (*.f64 (*.f64 a (*.f64 a a)) (*.f64 c (*.f64 c c))) (*.f64 (*.f64 a (*.f64 a a)) (*.f64 c (*.f64 c c)))) (*.f64 (*.f64 d d) (*.f64 d (*.f64 d (*.f64 d d))))) (*.f64 (*.f64 b (*.f64 b b)) (*.f64 b (*.f64 b b)))) #s(literal 1 binary64)) (*.f64 (-.f64 (/.f64 (*.f64 (*.f64 a (*.f64 a a)) (*.f64 c (*.f64 c c))) (*.f64 d (*.f64 d d))) (*.f64 b (*.f64 b b))) (fma.f64 b (-.f64 b (/.f64 (*.f64 c a) d)) (/.f64 (*.f64 c (*.f64 a (*.f64 c a))) (*.f64 d d))))) |
(/.f64 (*.f64 (-.f64 (/.f64 (*.f64 (*.f64 (*.f64 a (*.f64 a a)) (*.f64 c (*.f64 c c))) (*.f64 (*.f64 a (*.f64 a a)) (*.f64 c (*.f64 c c)))) (*.f64 (*.f64 d d) (*.f64 d (*.f64 d (*.f64 d d))))) (*.f64 (*.f64 b (*.f64 b b)) (*.f64 b (*.f64 b b)))) #s(literal 1 binary64)) (*.f64 (+.f64 (/.f64 (*.f64 (*.f64 c (*.f64 a (*.f64 c a))) (*.f64 c (*.f64 a (*.f64 c a)))) (*.f64 d (*.f64 d (*.f64 d d)))) (*.f64 (*.f64 b b) (fma.f64 b b (/.f64 (*.f64 c (*.f64 a (*.f64 c a))) (*.f64 d d))))) (-.f64 (/.f64 (*.f64 c a) d) b))) |
(/.f64 (*.f64 (-.f64 (/.f64 (*.f64 (*.f64 c (*.f64 a (*.f64 c a))) (*.f64 c (*.f64 a (*.f64 c a)))) (*.f64 d (*.f64 d (*.f64 d d)))) (*.f64 b (*.f64 b (*.f64 b b)))) #s(literal 1 binary64)) (*.f64 (fma.f64 c (/.f64 (*.f64 (*.f64 c a) a) (*.f64 d d)) (*.f64 b b)) (-.f64 (/.f64 (*.f64 c a) d) b))) |
(/.f64 (neg.f64 (neg.f64 (fma.f64 b (*.f64 b b) (/.f64 (*.f64 (*.f64 a (*.f64 a a)) (*.f64 c (*.f64 c c))) (*.f64 d (*.f64 d d)))))) (fma.f64 b (-.f64 b (/.f64 (*.f64 c a) d)) (/.f64 (*.f64 c (*.f64 a (*.f64 c a))) (*.f64 d d)))) |
(/.f64 (neg.f64 (neg.f64 (fma.f64 b (*.f64 b b) (/.f64 (*.f64 (*.f64 a (*.f64 a a)) (*.f64 c (*.f64 c c))) (*.f64 d (*.f64 d d)))))) (neg.f64 (neg.f64 (fma.f64 b (-.f64 b (/.f64 (*.f64 c a) d)) (/.f64 (*.f64 c (*.f64 a (*.f64 c a))) (*.f64 d d)))))) |
(/.f64 (neg.f64 (neg.f64 (fma.f64 c (/.f64 (*.f64 (*.f64 c a) a) (*.f64 d d)) (*.f64 b (neg.f64 b))))) (-.f64 (/.f64 (*.f64 c a) d) b)) |
(/.f64 (neg.f64 (neg.f64 (fma.f64 c (/.f64 (*.f64 (*.f64 c a) a) (*.f64 d d)) (*.f64 b (neg.f64 b))))) (neg.f64 (fma.f64 (/.f64 a d) (neg.f64 c) b))) |
(/.f64 (neg.f64 (-.f64 (*.f64 b b) (/.f64 (*.f64 c (*.f64 a (*.f64 c a))) (*.f64 d d)))) (neg.f64 (-.f64 b (/.f64 (*.f64 c a) d)))) |
(/.f64 (-.f64 (pow.f64 (/.f64 (/.f64 (*.f64 c (*.f64 a (*.f64 c a))) (*.f64 d d)) (-.f64 (/.f64 (*.f64 c a) d) b)) #s(literal 3 binary64)) (pow.f64 (/.f64 (*.f64 b b) (-.f64 (/.f64 (*.f64 c a) d) b)) #s(literal 3 binary64))) (fma.f64 (/.f64 (/.f64 (*.f64 c (*.f64 a (*.f64 c a))) (*.f64 d d)) (-.f64 (/.f64 (*.f64 c a) d) b)) (/.f64 (/.f64 (*.f64 c (*.f64 a (*.f64 c a))) (*.f64 d d)) (-.f64 (/.f64 (*.f64 c a) d) b)) (fma.f64 (/.f64 (*.f64 b b) (-.f64 (/.f64 (*.f64 c a) d) b)) (/.f64 (*.f64 b b) (-.f64 (/.f64 (*.f64 c a) d) b)) (*.f64 (/.f64 (/.f64 (*.f64 c (*.f64 a (*.f64 c a))) (*.f64 d d)) (-.f64 (/.f64 (*.f64 c a) d) b)) (/.f64 (*.f64 b b) (-.f64 (/.f64 (*.f64 c a) d) b)))))) |
(/.f64 (-.f64 (*.f64 (/.f64 (/.f64 (*.f64 c (*.f64 a (*.f64 c a))) (*.f64 d d)) (-.f64 (/.f64 (*.f64 c a) d) b)) (/.f64 (/.f64 (*.f64 c (*.f64 a (*.f64 c a))) (*.f64 d d)) (-.f64 (/.f64 (*.f64 c a) d) b))) (*.f64 (/.f64 (*.f64 b b) (-.f64 (/.f64 (*.f64 c a) d) b)) (/.f64 (*.f64 b b) (-.f64 (/.f64 (*.f64 c a) d) b)))) (+.f64 (/.f64 (/.f64 (*.f64 c (*.f64 a (*.f64 c a))) (*.f64 d d)) (-.f64 (/.f64 (*.f64 c a) d) b)) (/.f64 (*.f64 b b) (-.f64 (/.f64 (*.f64 c a) d) b)))) |
(pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 c (/.f64 a d) b)) #s(literal -1 binary64)) |
(*.f64 #s(literal 1 binary64) (fma.f64 c (/.f64 a d) b)) |
(*.f64 (fma.f64 c (/.f64 a d) b) #s(literal 1 binary64)) |
(*.f64 (fma.f64 c (/.f64 a d) b) (*.f64 (-.f64 (/.f64 (*.f64 c a) d) b) (/.f64 #s(literal 1 binary64) (-.f64 (/.f64 (*.f64 c a) d) b)))) |
(*.f64 #s(literal -1 binary64) (neg.f64 (fma.f64 c (/.f64 a d) b))) |
(*.f64 (fma.f64 b (*.f64 b b) (/.f64 (*.f64 (*.f64 a (*.f64 a a)) (*.f64 c (*.f64 c c))) (*.f64 d (*.f64 d d)))) (/.f64 #s(literal 1 binary64) (fma.f64 b (-.f64 b (/.f64 (*.f64 c a) d)) (/.f64 (*.f64 c (*.f64 a (*.f64 c a))) (*.f64 d d))))) |
(*.f64 (fma.f64 b (*.f64 b b) (/.f64 (*.f64 (*.f64 a (*.f64 a a)) (*.f64 c (*.f64 c c))) (*.f64 d (*.f64 d d)))) (/.f64 #s(literal 1 binary64) (fma.f64 b b (*.f64 (/.f64 (*.f64 c a) d) (-.f64 (/.f64 (*.f64 c a) d) b))))) |
(*.f64 (fma.f64 b (*.f64 b b) (/.f64 (*.f64 (*.f64 a (*.f64 a a)) (*.f64 c (*.f64 c c))) (*.f64 d (*.f64 d d)))) (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 b (-.f64 b (/.f64 (*.f64 c a) d)) (/.f64 (*.f64 c (*.f64 a (*.f64 c a))) (*.f64 d d)))) #s(literal 1 binary64))) |
(*.f64 (fma.f64 b (-.f64 b (/.f64 (*.f64 c a) d)) (/.f64 (*.f64 c (*.f64 a (*.f64 c a))) (*.f64 d d))) (*.f64 (fma.f64 c (/.f64 a d) b) (/.f64 #s(literal 1 binary64) (fma.f64 b (-.f64 b (/.f64 (*.f64 c a) d)) (/.f64 (*.f64 c (*.f64 a (*.f64 c a))) (*.f64 d d)))))) |
(*.f64 (fma.f64 c (/.f64 (*.f64 (*.f64 c a) a) (*.f64 d d)) (*.f64 b (neg.f64 b))) (/.f64 #s(literal 1 binary64) (-.f64 (/.f64 (*.f64 c a) d) b))) |
(*.f64 (fma.f64 c (/.f64 (*.f64 (*.f64 c a) a) (*.f64 d d)) (*.f64 b (neg.f64 b))) (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 (/.f64 (*.f64 c a) d) b)) #s(literal 1 binary64))) |
(*.f64 (neg.f64 (fma.f64 b (*.f64 b b) (/.f64 (*.f64 (*.f64 a (*.f64 a a)) (*.f64 c (*.f64 c c))) (*.f64 d (*.f64 d d))))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 b (-.f64 b (/.f64 (*.f64 c a) d)) (/.f64 (*.f64 c (*.f64 a (*.f64 c a))) (*.f64 d d)))))) |
(*.f64 (neg.f64 (fma.f64 c (/.f64 (*.f64 (*.f64 c a) a) (*.f64 d d)) (*.f64 b (neg.f64 b)))) (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 a d) (neg.f64 c) b))) |
(*.f64 (-.f64 (*.f64 b b) (/.f64 (*.f64 c (*.f64 a (*.f64 c a))) (*.f64 d d))) (/.f64 #s(literal 1 binary64) (-.f64 b (/.f64 (*.f64 c a) d)))) |
(exp.f64 (*.f64 (log.f64 (/.f64 d a)) #s(literal -1 binary64))) |
(-.f64 #s(literal 0 binary64) (neg.f64 (/.f64 a d))) |
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 d)) (neg.f64 (/.f64 a d))) |
(neg.f64 (neg.f64 (/.f64 a d))) |
(neg.f64 (*.f64 #s(literal 1 binary64) (neg.f64 (/.f64 a d)))) |
(neg.f64 (/.f64 #s(literal -1 binary64) (/.f64 d a))) |
(/.f64 a d) |
(/.f64 #s(literal 1 binary64) (/.f64 d a)) |
(/.f64 #s(literal -1 binary64) (/.f64 (neg.f64 d) a)) |
(/.f64 (neg.f64 a) (neg.f64 d)) |
(pow.f64 (/.f64 d a) #s(literal -1 binary64)) |
(*.f64 a (/.f64 #s(literal 1 binary64) d)) |
(*.f64 #s(literal 1 binary64) (/.f64 a d)) |
(*.f64 (/.f64 a d) #s(literal 1 binary64)) |
(*.f64 #s(literal -1 binary64) (neg.f64 (/.f64 a d))) |
(*.f64 (neg.f64 a) (/.f64 #s(literal -1 binary64) d)) |
(*.f64 (/.f64 #s(literal 1 binary64) d) a) |
(*.f64 (/.f64 #s(literal 1 binary64) d) (pow.f64 (/.f64 #s(literal 1 binary64) a) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (/.f64 d a) #s(literal -1/2 binary64)) (pow.f64 (/.f64 d a) #s(literal -1/2 binary64))) |
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) d) #s(literal 1 binary64)) a) |
| 1× | egg-herbie |
| 9 076× | accelerator-lowering-fma.f32 |
| 9 076× | accelerator-lowering-fma.f64 |
| 5 134× | *-lowering-*.f32 |
| 5 134× | *-lowering-*.f64 |
| 3 264× | /-lowering-/.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 245 | 3222 |
| 1 | 779 | 3198 |
| 2 | 2470 | 3164 |
| 3 | 7199 | 3134 |
| 0 | 8454 | 3004 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(/ a c) |
(+ (/ a c) (/ (* b d) (pow c 2))) |
(+ (/ a c) (/ (* b d) (pow c 2))) |
(+ (/ a c) (/ (* b d) (pow c 2))) |
(/ (* b d) (pow c 2)) |
(* b (+ (/ a (* b c)) (/ d (pow c 2)))) |
(* b (+ (/ a (* b c)) (/ d (pow c 2)))) |
(* b (+ (/ a (* b c)) (/ d (pow c 2)))) |
(/ (* b d) (pow c 2)) |
(* -1 (* b (+ (* -1 (/ a (* b c))) (* -1 (/ d (pow c 2)))))) |
(* -1 (* b (+ (* -1 (/ a (* b c))) (* -1 (/ d (pow c 2)))))) |
(* -1 (* b (+ (* -1 (/ a (* b c))) (* -1 (/ d (pow c 2)))))) |
(/ (* b d) (pow c 2)) |
(/ (+ (* a c) (* b d)) (pow c 2)) |
(/ (+ (* a c) (* b d)) (pow c 2)) |
(/ (+ (* a c) (* b d)) (pow c 2)) |
(/ a c) |
(/ (+ a (/ (* b d) c)) c) |
(/ (+ a (/ (* b d) c)) c) |
(/ (+ a (/ (* b d) c)) c) |
(/ a c) |
(* -1 (/ (+ (* -1 a) (* -1 (/ (* b d) c))) c)) |
(* -1 (/ (+ (* -1 a) (* -1 (/ (* b d) c))) c)) |
(* -1 (/ (+ (* -1 a) (* -1 (/ (* b d) c))) c)) |
(/ a c) |
(+ (/ a c) (/ (* b d) (pow c 2))) |
(+ (/ a c) (/ (* b d) (pow c 2))) |
(+ (/ a c) (/ (* b d) (pow c 2))) |
(/ (* b d) (pow c 2)) |
(* d (+ (/ a (* c d)) (/ b (pow c 2)))) |
(* d (+ (/ a (* c d)) (/ b (pow c 2)))) |
(* d (+ (/ a (* c d)) (/ b (pow c 2)))) |
(/ (* b d) (pow c 2)) |
(* -1 (* d (+ (* -1 (/ a (* c d))) (* -1 (/ b (pow c 2)))))) |
(* -1 (* d (+ (* -1 (/ a (* c d))) (* -1 (/ b (pow c 2)))))) |
(* -1 (* d (+ (* -1 (/ a (* c d))) (* -1 (/ b (pow c 2)))))) |
(/ (* b d) (pow c 2)) |
(+ (/ a c) (/ (* b d) (pow c 2))) |
(+ (/ a c) (/ (* b d) (pow c 2))) |
(+ (/ a c) (/ (* b d) (pow c 2))) |
(/ a c) |
(* a (+ (/ 1 c) (/ (* b d) (* a (pow c 2))))) |
(* a (+ (/ 1 c) (/ (* b d) (* a (pow c 2))))) |
(* a (+ (/ 1 c) (/ (* b d) (* a (pow c 2))))) |
(/ a c) |
(* -1 (* a (- (* -1 (/ (* b d) (* a (pow c 2)))) (/ 1 c)))) |
(* -1 (* a (- (* -1 (/ (* b d) (* a (pow c 2)))) (/ 1 c)))) |
(* -1 (* a (- (* -1 (/ (* b d) (* a (pow c 2)))) (/ 1 c)))) |
a |
(+ a (/ (* b d) c)) |
(+ a (/ (* b d) c)) |
(+ a (/ (* b d) c)) |
(/ (* b d) c) |
(* b (+ (/ a b) (/ d c))) |
(* b (+ (/ a b) (/ d c))) |
(* b (+ (/ a b) (/ d c))) |
(/ (* b d) c) |
(* -1 (* b (+ (* -1 (/ a b)) (* -1 (/ d c))))) |
(* -1 (* b (+ (* -1 (/ a b)) (* -1 (/ d c))))) |
(* -1 (* b (+ (* -1 (/ a b)) (* -1 (/ d c))))) |
(/ (* b d) c) |
(/ (+ (* a c) (* b d)) c) |
(/ (+ (* a c) (* b d)) c) |
(/ (+ (* a c) (* b d)) c) |
a |
(+ a (/ (* b d) c)) |
(+ a (/ (* b d) c)) |
(+ a (/ (* b d) c)) |
a |
(+ a (/ (* b d) c)) |
(+ a (/ (* b d) c)) |
(+ a (/ (* b d) c)) |
a |
(+ a (/ (* b d) c)) |
(+ a (/ (* b d) c)) |
(+ a (/ (* b d) c)) |
(/ (* b d) c) |
(* d (+ (/ a d) (/ b c))) |
(* d (+ (/ a d) (/ b c))) |
(* d (+ (/ a d) (/ b c))) |
(/ (* b d) c) |
(* -1 (* d (+ (* -1 (/ a d)) (* -1 (/ b c))))) |
(* -1 (* d (+ (* -1 (/ a d)) (* -1 (/ b c))))) |
(* -1 (* d (+ (* -1 (/ a d)) (* -1 (/ b c))))) |
(/ (* b d) c) |
(+ a (/ (* b d) c)) |
(+ a (/ (* b d) c)) |
(+ a (/ (* b d) c)) |
a |
(* a (+ 1 (/ (* b d) (* a c)))) |
(* a (+ 1 (/ (* b d) (* a c)))) |
(* a (+ 1 (/ (* b d) (* a c)))) |
a |
(* -1 (* a (- (* -1 (/ (* b d) (* a c))) 1))) |
(* -1 (* a (- (* -1 (/ (* b d) (* a c))) 1))) |
(* -1 (* a (- (* -1 (/ (* b d) (* a c))) 1))) |
(/ b c) |
(/ b c) |
(/ b c) |
(/ b c) |
(/ b c) |
(/ b c) |
(/ b c) |
(/ b c) |
(/ b c) |
(/ b c) |
(/ b c) |
(/ b c) |
(/ b c) |
(/ b c) |
(/ b c) |
(/ b c) |
(/ b c) |
(/ b c) |
(/ b c) |
(/ b c) |
(/ b c) |
(/ b c) |
(/ b c) |
(/ b c) |
(/ a c) |
(/ a c) |
(/ a c) |
(/ a c) |
(/ a c) |
(/ a c) |
(/ a c) |
(/ a c) |
(/ a c) |
(/ a c) |
(/ a c) |
(/ a c) |
(/ a c) |
(/ a c) |
(/ a c) |
(/ a c) |
(/ a c) |
(/ a c) |
(/ a c) |
(/ a c) |
(/ a c) |
(/ a c) |
(/ a c) |
(/ a c) |
(/ 1 c) |
(/ 1 c) |
(/ 1 c) |
(/ 1 c) |
(/ 1 c) |
(/ 1 c) |
(/ 1 c) |
(/ 1 c) |
(/ 1 c) |
(/ 1 c) |
(/ 1 c) |
(/ 1 c) |
(/ (* b d) (pow c 2)) |
(/ (* b d) (pow c 2)) |
(/ (* b d) (pow c 2)) |
(/ (* b d) (pow c 2)) |
(/ (* b d) (pow c 2)) |
(/ (* b d) (pow c 2)) |
(/ (* b d) (pow c 2)) |
(/ (* b d) (pow c 2)) |
(/ (* b d) (pow c 2)) |
(/ (* b d) (pow c 2)) |
(/ (* b d) (pow c 2)) |
(/ (* b d) (pow c 2)) |
(/ (* b d) (pow c 2)) |
(/ (* b d) (pow c 2)) |
(/ (* b d) (pow c 2)) |
(/ (* b d) (pow c 2)) |
(/ (* b d) (pow c 2)) |
(/ (* b d) (pow c 2)) |
(/ (* b d) (pow c 2)) |
(/ (* b d) (pow c 2)) |
(/ (* b d) (pow c 2)) |
(/ (* b d) (pow c 2)) |
(/ (* b d) (pow c 2)) |
(/ (* b d) (pow c 2)) |
(/ (* b d) (pow c 2)) |
(/ (* b d) (pow c 2)) |
(/ (* b d) (pow c 2)) |
(/ (* b d) (pow c 2)) |
(/ (* b d) (pow c 2)) |
(/ (* b d) (pow c 2)) |
(/ (* b d) (pow c 2)) |
(/ (* b d) (pow c 2)) |
(/ (* b d) (pow c 2)) |
(/ (* b d) (pow c 2)) |
(/ (* b d) (pow c 2)) |
(/ (* b d) (pow c 2)) |
(* b d) |
(* b d) |
(* b d) |
(* b d) |
(* b d) |
(* b d) |
(* b d) |
(* b d) |
(* b d) |
(* b d) |
(* b d) |
(* b d) |
(* b d) |
(* b d) |
(* b d) |
(* b d) |
(* b d) |
(* b d) |
(* b d) |
(* b d) |
(* b d) |
(* b d) |
(* b d) |
(* b d) |
(pow c 2) |
(pow c 2) |
(pow c 2) |
(pow c 2) |
(pow c 2) |
(pow c 2) |
(pow c 2) |
(pow c 2) |
(pow c 2) |
(pow c 2) |
(pow c 2) |
(pow c 2) |
(/ (* a c) (+ (pow c 2) (pow d 2))) |
(/ (* a c) (+ (pow c 2) (pow d 2))) |
(/ (* a c) (+ (pow c 2) (pow d 2))) |
(/ (* a c) (+ (pow c 2) (pow d 2))) |
(/ (* a c) (+ (pow c 2) (pow d 2))) |
(/ (* a c) (+ (pow c 2) (pow d 2))) |
(/ (* a c) (+ (pow c 2) (pow d 2))) |
(/ (* a c) (+ (pow c 2) (pow d 2))) |
(/ (* a c) (+ (pow c 2) (pow d 2))) |
(/ (* a c) (+ (pow c 2) (pow d 2))) |
(/ (* a c) (+ (pow c 2) (pow d 2))) |
(/ (* a c) (+ (pow c 2) (pow d 2))) |
(/ (* a c) (pow d 2)) |
(* c (+ (* -1 (/ (* a (pow c 2)) (pow d 4))) (/ a (pow d 2)))) |
(* c (+ (* (pow c 2) (- (/ (* a (pow c 2)) (pow d 6)) (/ a (pow d 4)))) (/ a (pow d 2)))) |
(* c (+ (* (pow c 2) (- (* (pow c 2) (- (* -1 (/ (* a (pow c 2)) (pow d 8))) (* -1 (/ a (pow d 6))))) (/ a (pow d 4)))) (/ a (pow d 2)))) |
(/ a c) |
(/ (+ a (* -1 (/ (* a (pow d 2)) (pow c 2)))) c) |
(/ (- (+ a (/ (* a (pow d 4)) (pow c 4))) (/ (* a (pow d 2)) (pow c 2))) c) |
(/ (- (+ a (* -1 (/ (* a (pow d 6)) (pow c 6)))) (+ (* -1 (/ (* a (pow d 4)) (pow c 4))) (/ (* a (pow d 2)) (pow c 2)))) c) |
(/ a c) |
(* -1 (/ (+ (* -1 a) (/ (* a (pow d 2)) (pow c 2))) c)) |
(* -1 (/ (+ (* -1 a) (+ (* -1 (/ (* a (pow d 4)) (pow c 4))) (/ (* a (pow d 2)) (pow c 2)))) c)) |
(* -1 (/ (+ (* -1 a) (+ (* -1 (/ (* a (pow d 4)) (pow c 4))) (+ (/ (* a (pow d 2)) (pow c 2)) (/ (* a (pow d 6)) (pow c 6))))) c)) |
(/ a c) |
(+ (* -1 (/ (* a (pow d 2)) (pow c 3))) (/ a c)) |
(+ (* (pow d 2) (- (/ (* a (pow d 2)) (pow c 5)) (/ a (pow c 3)))) (/ a c)) |
(+ (* (pow d 2) (- (* (pow d 2) (- (* -1 (/ (* a (pow d 2)) (pow c 7))) (* -1 (/ a (pow c 5))))) (/ a (pow c 3)))) (/ a c)) |
(/ (* a c) (pow d 2)) |
(/ (+ (* -1 (/ (* a (pow c 3)) (pow d 2))) (* a c)) (pow d 2)) |
(/ (- (+ (* a c) (/ (* a (pow c 5)) (pow d 4))) (/ (* a (pow c 3)) (pow d 2))) (pow d 2)) |
(/ (- (+ (* -1 (/ (* a (pow c 7)) (pow d 6))) (* a c)) (+ (* -1 (/ (* a (pow c 5)) (pow d 4))) (/ (* a (pow c 3)) (pow d 2)))) (pow d 2)) |
(/ (* a c) (pow d 2)) |
(/ (+ (* -1 (/ (* a (pow c 3)) (pow d 2))) (* a c)) (pow d 2)) |
(/ (- (+ (* a c) (/ (* a (pow c 5)) (pow d 4))) (/ (* a (pow c 3)) (pow d 2))) (pow d 2)) |
(/ (- (+ (* -1 (/ (* a (pow c 7)) (pow d 6))) (* a c)) (+ (* -1 (/ (* a (pow c 5)) (pow d 4))) (/ (* a (pow c 3)) (pow d 2)))) (pow d 2)) |
(* a c) |
(* a c) |
(* a c) |
(* a c) |
(* a c) |
(* a c) |
(* a c) |
(* a c) |
(* a c) |
(* a c) |
(* a c) |
(* a c) |
(* a c) |
(* a c) |
(* a c) |
(* a c) |
(* a c) |
(* a c) |
(* a c) |
(* a c) |
(* a c) |
(* a c) |
(* a c) |
(* a c) |
(pow c 2) |
(+ (pow c 2) (pow d 2)) |
(+ (pow c 2) (pow d 2)) |
(+ (pow c 2) (pow d 2)) |
(pow d 2) |
(* (pow d 2) (+ 1 (/ (pow c 2) (pow d 2)))) |
(* (pow d 2) (+ 1 (/ (pow c 2) (pow d 2)))) |
(* (pow d 2) (+ 1 (/ (pow c 2) (pow d 2)))) |
(pow d 2) |
(* (pow d 2) (+ 1 (/ (pow c 2) (pow d 2)))) |
(* (pow d 2) (+ 1 (/ (pow c 2) (pow d 2)))) |
(* (pow d 2) (+ 1 (/ (pow c 2) (pow d 2)))) |
(pow d 2) |
(+ (pow c 2) (pow d 2)) |
(+ (pow c 2) (pow d 2)) |
(+ (pow c 2) (pow d 2)) |
(pow c 2) |
(* (pow c 2) (+ 1 (/ (pow d 2) (pow c 2)))) |
(* (pow c 2) (+ 1 (/ (pow d 2) (pow c 2)))) |
(* (pow c 2) (+ 1 (/ (pow d 2) (pow c 2)))) |
(pow c 2) |
(* (pow c 2) (+ 1 (/ (pow d 2) (pow c 2)))) |
(* (pow c 2) (+ 1 (/ (pow d 2) (pow c 2)))) |
(* (pow c 2) (+ 1 (/ (pow d 2) (pow c 2)))) |
(/ b d) |
(+ (/ b d) (/ (* a c) (pow d 2))) |
(+ (/ b d) (/ (* a c) (pow d 2))) |
(+ (/ b d) (/ (* a c) (pow d 2))) |
(/ (* a c) (pow d 2)) |
(* c (+ (/ a (pow d 2)) (/ b (* c d)))) |
(* c (+ (/ a (pow d 2)) (/ b (* c d)))) |
(* c (+ (/ a (pow d 2)) (/ b (* c d)))) |
(/ (* a c) (pow d 2)) |
(* -1 (* c (+ (* -1 (/ a (pow d 2))) (* -1 (/ b (* c d)))))) |
(* -1 (* c (+ (* -1 (/ a (pow d 2))) (* -1 (/ b (* c d)))))) |
(* -1 (* c (+ (* -1 (/ a (pow d 2))) (* -1 (/ b (* c d)))))) |
(/ b d) |
(+ (/ b d) (/ (* a c) (pow d 2))) |
(+ (/ b d) (/ (* a c) (pow d 2))) |
(+ (/ b d) (/ (* a c) (pow d 2))) |
(/ (* a c) (pow d 2)) |
(* a (+ (/ b (* a d)) (/ c (pow d 2)))) |
(* a (+ (/ b (* a d)) (/ c (pow d 2)))) |
(* a (+ (/ b (* a d)) (/ c (pow d 2)))) |
(/ (* a c) (pow d 2)) |
(* -1 (* a (+ (* -1 (/ b (* a d))) (* -1 (/ c (pow d 2)))))) |
(* -1 (* a (+ (* -1 (/ b (* a d))) (* -1 (/ c (pow d 2)))))) |
(* -1 (* a (+ (* -1 (/ b (* a d))) (* -1 (/ c (pow d 2)))))) |
(/ (* a c) (pow d 2)) |
(/ (+ (* a c) (* b d)) (pow d 2)) |
(/ (+ (* a c) (* b d)) (pow d 2)) |
(/ (+ (* a c) (* b d)) (pow d 2)) |
(/ b d) |
(/ (+ b (/ (* a c) d)) d) |
(/ (+ b (/ (* a c) d)) d) |
(/ (+ b (/ (* a c) d)) d) |
(/ b d) |
(* -1 (/ (+ (* -1 b) (* -1 (/ (* a c) d))) d)) |
(* -1 (/ (+ (* -1 b) (* -1 (/ (* a c) d))) d)) |
(* -1 (/ (+ (* -1 b) (* -1 (/ (* a c) d))) d)) |
(/ (* a c) (pow d 2)) |
(+ (/ b d) (/ (* a c) (pow d 2))) |
(+ (/ b d) (/ (* a c) (pow d 2))) |
(+ (/ b d) (/ (* a c) (pow d 2))) |
(/ b d) |
(* b (+ (/ 1 d) (/ (* a c) (* b (pow d 2))))) |
(* b (+ (/ 1 d) (/ (* a c) (* b (pow d 2))))) |
(* b (+ (/ 1 d) (/ (* a c) (* b (pow d 2))))) |
(/ b d) |
(* -1 (* b (- (* -1 (/ (* a c) (* b (pow d 2)))) (/ 1 d)))) |
(* -1 (* b (- (* -1 (/ (* a c) (* b (pow d 2)))) (/ 1 d)))) |
(* -1 (* b (- (* -1 (/ (* a c) (* b (pow d 2)))) (/ 1 d)))) |
b |
(+ b (/ (* a c) d)) |
(+ b (/ (* a c) d)) |
(+ b (/ (* a c) d)) |
(/ (* a c) d) |
(* c (+ (/ a d) (/ b c))) |
(* c (+ (/ a d) (/ b c))) |
(* c (+ (/ a d) (/ b c))) |
(/ (* a c) d) |
(* -1 (* c (+ (* -1 (/ a d)) (* -1 (/ b c))))) |
(* -1 (* c (+ (* -1 (/ a d)) (* -1 (/ b c))))) |
(* -1 (* c (+ (* -1 (/ a d)) (* -1 (/ b c))))) |
b |
(+ b (/ (* a c) d)) |
(+ b (/ (* a c) d)) |
(+ b (/ (* a c) d)) |
(/ (* a c) d) |
(* a (+ (/ b a) (/ c d))) |
(* a (+ (/ b a) (/ c d))) |
(* a (+ (/ b a) (/ c d))) |
(/ (* a c) d) |
(* -1 (* a (+ (* -1 (/ b a)) (* -1 (/ c d))))) |
(* -1 (* a (+ (* -1 (/ b a)) (* -1 (/ c d))))) |
(* -1 (* a (+ (* -1 (/ b a)) (* -1 (/ c d))))) |
(/ (* a c) d) |
(/ (+ (* a c) (* b d)) d) |
(/ (+ (* a c) (* b d)) d) |
(/ (+ (* a c) (* b d)) d) |
b |
(+ b (/ (* a c) d)) |
(+ b (/ (* a c) d)) |
(+ b (/ (* a c) d)) |
b |
(+ b (/ (* a c) d)) |
(+ b (/ (* a c) d)) |
(+ b (/ (* a c) d)) |
(/ (* a c) d) |
(+ b (/ (* a c) d)) |
(+ b (/ (* a c) d)) |
(+ b (/ (* a c) d)) |
b |
(* b (+ 1 (/ (* a c) (* b d)))) |
(* b (+ 1 (/ (* a c) (* b d)))) |
(* b (+ 1 (/ (* a c) (* b d)))) |
b |
(* -1 (* b (- (* -1 (/ (* a c) (* b d))) 1))) |
(* -1 (* b (- (* -1 (/ (* a c) (* b d))) 1))) |
(* -1 (* b (- (* -1 (/ (* a c) (* b d))) 1))) |
(/ a d) |
(/ a d) |
(/ a d) |
(/ a d) |
(/ a d) |
(/ a d) |
(/ a d) |
(/ a d) |
(/ a d) |
(/ a d) |
(/ a d) |
(/ a d) |
(/ a d) |
(/ a d) |
(/ a d) |
(/ a d) |
(/ a d) |
(/ a d) |
(/ a d) |
(/ a d) |
(/ a d) |
(/ a d) |
(/ a d) |
(/ a d) |
| Outputs |
|---|
(/ a c) |
(/.f64 a c) |
(+ (/ a c) (/ (* b d) (pow c 2))) |
(/.f64 (fma.f64 b (/.f64 d c) a) c) |
(+ (/ a c) (/ (* b d) (pow c 2))) |
(/.f64 (fma.f64 b (/.f64 d c) a) c) |
(+ (/ a c) (/ (* b d) (pow c 2))) |
(/.f64 (fma.f64 b (/.f64 d c) a) c) |
(/ (* b d) (pow c 2)) |
(/.f64 (*.f64 b d) (*.f64 c c)) |
(* b (+ (/ a (* b c)) (/ d (pow c 2)))) |
(*.f64 b (+.f64 (/.f64 a (*.f64 c b)) (/.f64 d (*.f64 c c)))) |
(* b (+ (/ a (* b c)) (/ d (pow c 2)))) |
(*.f64 b (+.f64 (/.f64 a (*.f64 c b)) (/.f64 d (*.f64 c c)))) |
(* b (+ (/ a (* b c)) (/ d (pow c 2)))) |
(*.f64 b (+.f64 (/.f64 a (*.f64 c b)) (/.f64 d (*.f64 c c)))) |
(/ (* b d) (pow c 2)) |
(/.f64 (*.f64 b d) (*.f64 c c)) |
(* -1 (* b (+ (* -1 (/ a (* b c))) (* -1 (/ d (pow c 2)))))) |
(*.f64 b (+.f64 (/.f64 a (*.f64 c b)) (/.f64 d (*.f64 c c)))) |
(* -1 (* b (+ (* -1 (/ a (* b c))) (* -1 (/ d (pow c 2)))))) |
(*.f64 b (+.f64 (/.f64 a (*.f64 c b)) (/.f64 d (*.f64 c c)))) |
(* -1 (* b (+ (* -1 (/ a (* b c))) (* -1 (/ d (pow c 2)))))) |
(*.f64 b (+.f64 (/.f64 a (*.f64 c b)) (/.f64 d (*.f64 c c)))) |
(/ (* b d) (pow c 2)) |
(/.f64 (*.f64 b d) (*.f64 c c)) |
(/ (+ (* a c) (* b d)) (pow c 2)) |
(/.f64 (fma.f64 a c (*.f64 b d)) (*.f64 c c)) |
(/ (+ (* a c) (* b d)) (pow c 2)) |
(/.f64 (fma.f64 a c (*.f64 b d)) (*.f64 c c)) |
(/ (+ (* a c) (* b d)) (pow c 2)) |
(/.f64 (fma.f64 a c (*.f64 b d)) (*.f64 c c)) |
(/ a c) |
(/.f64 a c) |
(/ (+ a (/ (* b d) c)) c) |
(/.f64 (fma.f64 b (/.f64 d c) a) c) |
(/ (+ a (/ (* b d) c)) c) |
(/.f64 (fma.f64 b (/.f64 d c) a) c) |
(/ (+ a (/ (* b d) c)) c) |
(/.f64 (fma.f64 b (/.f64 d c) a) c) |
(/ a c) |
(/.f64 a c) |
(* -1 (/ (+ (* -1 a) (* -1 (/ (* b d) c))) c)) |
(/.f64 (fma.f64 b (/.f64 d c) a) c) |
(* -1 (/ (+ (* -1 a) (* -1 (/ (* b d) c))) c)) |
(/.f64 (fma.f64 b (/.f64 d c) a) c) |
(* -1 (/ (+ (* -1 a) (* -1 (/ (* b d) c))) c)) |
(/.f64 (fma.f64 b (/.f64 d c) a) c) |
(/ a c) |
(/.f64 a c) |
(+ (/ a c) (/ (* b d) (pow c 2))) |
(/.f64 (fma.f64 b (/.f64 d c) a) c) |
(+ (/ a c) (/ (* b d) (pow c 2))) |
(/.f64 (fma.f64 b (/.f64 d c) a) c) |
(+ (/ a c) (/ (* b d) (pow c 2))) |
(/.f64 (fma.f64 b (/.f64 d c) a) c) |
(/ (* b d) (pow c 2)) |
(/.f64 (*.f64 b d) (*.f64 c c)) |
(* d (+ (/ a (* c d)) (/ b (pow c 2)))) |
(*.f64 d (+.f64 (/.f64 a (*.f64 c d)) (/.f64 b (*.f64 c c)))) |
(* d (+ (/ a (* c d)) (/ b (pow c 2)))) |
(*.f64 d (+.f64 (/.f64 a (*.f64 c d)) (/.f64 b (*.f64 c c)))) |
(* d (+ (/ a (* c d)) (/ b (pow c 2)))) |
(*.f64 d (+.f64 (/.f64 a (*.f64 c d)) (/.f64 b (*.f64 c c)))) |
(/ (* b d) (pow c 2)) |
(/.f64 (*.f64 b d) (*.f64 c c)) |
(* -1 (* d (+ (* -1 (/ a (* c d))) (* -1 (/ b (pow c 2)))))) |
(*.f64 d (+.f64 (/.f64 a (*.f64 c d)) (/.f64 b (*.f64 c c)))) |
(* -1 (* d (+ (* -1 (/ a (* c d))) (* -1 (/ b (pow c 2)))))) |
(*.f64 d (+.f64 (/.f64 a (*.f64 c d)) (/.f64 b (*.f64 c c)))) |
(* -1 (* d (+ (* -1 (/ a (* c d))) (* -1 (/ b (pow c 2)))))) |
(*.f64 d (+.f64 (/.f64 a (*.f64 c d)) (/.f64 b (*.f64 c c)))) |
(/ (* b d) (pow c 2)) |
(/.f64 (*.f64 b d) (*.f64 c c)) |
(+ (/ a c) (/ (* b d) (pow c 2))) |
(/.f64 (fma.f64 b (/.f64 d c) a) c) |
(+ (/ a c) (/ (* b d) (pow c 2))) |
(/.f64 (fma.f64 b (/.f64 d c) a) c) |
(+ (/ a c) (/ (* b d) (pow c 2))) |
(/.f64 (fma.f64 b (/.f64 d c) a) c) |
(/ a c) |
(/.f64 a c) |
(* a (+ (/ 1 c) (/ (* b d) (* a (pow c 2))))) |
(fma.f64 a (/.f64 (*.f64 b d) (*.f64 a (*.f64 c c))) (/.f64 a c)) |
(* a (+ (/ 1 c) (/ (* b d) (* a (pow c 2))))) |
(fma.f64 a (/.f64 (*.f64 b d) (*.f64 a (*.f64 c c))) (/.f64 a c)) |
(* a (+ (/ 1 c) (/ (* b d) (* a (pow c 2))))) |
(fma.f64 a (/.f64 (*.f64 b d) (*.f64 a (*.f64 c c))) (/.f64 a c)) |
(/ a c) |
(/.f64 a c) |
(* -1 (* a (- (* -1 (/ (* b d) (* a (pow c 2)))) (/ 1 c)))) |
(fma.f64 a (/.f64 (*.f64 b d) (*.f64 a (*.f64 c c))) (/.f64 a c)) |
(* -1 (* a (- (* -1 (/ (* b d) (* a (pow c 2)))) (/ 1 c)))) |
(fma.f64 a (/.f64 (*.f64 b d) (*.f64 a (*.f64 c c))) (/.f64 a c)) |
(* -1 (* a (- (* -1 (/ (* b d) (* a (pow c 2)))) (/ 1 c)))) |
(fma.f64 a (/.f64 (*.f64 b d) (*.f64 a (*.f64 c c))) (/.f64 a c)) |
a |
(+ a (/ (* b d) c)) |
(fma.f64 b (/.f64 d c) a) |
(+ a (/ (* b d) c)) |
(fma.f64 b (/.f64 d c) a) |
(+ a (/ (* b d) c)) |
(fma.f64 b (/.f64 d c) a) |
(/ (* b d) c) |
(*.f64 d (/.f64 b c)) |
(* b (+ (/ a b) (/ d c))) |
(*.f64 b (+.f64 (/.f64 a b) (/.f64 d c))) |
(* b (+ (/ a b) (/ d c))) |
(*.f64 b (+.f64 (/.f64 a b) (/.f64 d c))) |
(* b (+ (/ a b) (/ d c))) |
(*.f64 b (+.f64 (/.f64 a b) (/.f64 d c))) |
(/ (* b d) c) |
(*.f64 d (/.f64 b c)) |
(* -1 (* b (+ (* -1 (/ a b)) (* -1 (/ d c))))) |
(*.f64 b (+.f64 (/.f64 a b) (/.f64 d c))) |
(* -1 (* b (+ (* -1 (/ a b)) (* -1 (/ d c))))) |
(*.f64 b (+.f64 (/.f64 a b) (/.f64 d c))) |
(* -1 (* b (+ (* -1 (/ a b)) (* -1 (/ d c))))) |
(*.f64 b (+.f64 (/.f64 a b) (/.f64 d c))) |
(/ (* b d) c) |
(*.f64 d (/.f64 b c)) |
(/ (+ (* a c) (* b d)) c) |
(/.f64 (fma.f64 a c (*.f64 b d)) c) |
(/ (+ (* a c) (* b d)) c) |
(/.f64 (fma.f64 a c (*.f64 b d)) c) |
(/ (+ (* a c) (* b d)) c) |
(/.f64 (fma.f64 a c (*.f64 b d)) c) |
a |
(+ a (/ (* b d) c)) |
(fma.f64 b (/.f64 d c) a) |
(+ a (/ (* b d) c)) |
(fma.f64 b (/.f64 d c) a) |
(+ a (/ (* b d) c)) |
(fma.f64 b (/.f64 d c) a) |
a |
(+ a (/ (* b d) c)) |
(fma.f64 b (/.f64 d c) a) |
(+ a (/ (* b d) c)) |
(fma.f64 b (/.f64 d c) a) |
(+ a (/ (* b d) c)) |
(fma.f64 b (/.f64 d c) a) |
a |
(+ a (/ (* b d) c)) |
(fma.f64 b (/.f64 d c) a) |
(+ a (/ (* b d) c)) |
(fma.f64 b (/.f64 d c) a) |
(+ a (/ (* b d) c)) |
(fma.f64 b (/.f64 d c) a) |
(/ (* b d) c) |
(*.f64 d (/.f64 b c)) |
(* d (+ (/ a d) (/ b c))) |
(*.f64 d (+.f64 (/.f64 a d) (/.f64 b c))) |
(* d (+ (/ a d) (/ b c))) |
(*.f64 d (+.f64 (/.f64 a d) (/.f64 b c))) |
(* d (+ (/ a d) (/ b c))) |
(*.f64 d (+.f64 (/.f64 a d) (/.f64 b c))) |
(/ (* b d) c) |
(*.f64 d (/.f64 b c)) |
(* -1 (* d (+ (* -1 (/ a d)) (* -1 (/ b c))))) |
(*.f64 d (+.f64 (/.f64 a d) (/.f64 b c))) |
(* -1 (* d (+ (* -1 (/ a d)) (* -1 (/ b c))))) |
(*.f64 d (+.f64 (/.f64 a d) (/.f64 b c))) |
(* -1 (* d (+ (* -1 (/ a d)) (* -1 (/ b c))))) |
(*.f64 d (+.f64 (/.f64 a d) (/.f64 b c))) |
(/ (* b d) c) |
(*.f64 d (/.f64 b c)) |
(+ a (/ (* b d) c)) |
(fma.f64 b (/.f64 d c) a) |
(+ a (/ (* b d) c)) |
(fma.f64 b (/.f64 d c) a) |
(+ a (/ (* b d) c)) |
(fma.f64 b (/.f64 d c) a) |
a |
(* a (+ 1 (/ (* b d) (* a c)))) |
(fma.f64 (*.f64 b d) (/.f64 a (*.f64 a c)) a) |
(* a (+ 1 (/ (* b d) (* a c)))) |
(fma.f64 (*.f64 b d) (/.f64 a (*.f64 a c)) a) |
(* a (+ 1 (/ (* b d) (* a c)))) |
(fma.f64 (*.f64 b d) (/.f64 a (*.f64 a c)) a) |
a |
(* -1 (* a (- (* -1 (/ (* b d) (* a c))) 1))) |
(fma.f64 (neg.f64 a) (neg.f64 (/.f64 (*.f64 b d) (*.f64 a c))) a) |
(* -1 (* a (- (* -1 (/ (* b d) (* a c))) 1))) |
(fma.f64 (neg.f64 a) (neg.f64 (/.f64 (*.f64 b d) (*.f64 a c))) a) |
(* -1 (* a (- (* -1 (/ (* b d) (* a c))) 1))) |
(fma.f64 (neg.f64 a) (neg.f64 (/.f64 (*.f64 b d) (*.f64 a c))) a) |
(/ b c) |
(/.f64 b c) |
(/ b c) |
(/.f64 b c) |
(/ b c) |
(/.f64 b c) |
(/ b c) |
(/.f64 b c) |
(/ b c) |
(/.f64 b c) |
(/ b c) |
(/.f64 b c) |
(/ b c) |
(/.f64 b c) |
(/ b c) |
(/.f64 b c) |
(/ b c) |
(/.f64 b c) |
(/ b c) |
(/.f64 b c) |
(/ b c) |
(/.f64 b c) |
(/ b c) |
(/.f64 b c) |
(/ b c) |
(/.f64 b c) |
(/ b c) |
(/.f64 b c) |
(/ b c) |
(/.f64 b c) |
(/ b c) |
(/.f64 b c) |
(/ b c) |
(/.f64 b c) |
(/ b c) |
(/.f64 b c) |
(/ b c) |
(/.f64 b c) |
(/ b c) |
(/.f64 b c) |
(/ b c) |
(/.f64 b c) |
(/ b c) |
(/.f64 b c) |
(/ b c) |
(/.f64 b c) |
(/ b c) |
(/.f64 b c) |
(/ a c) |
(/.f64 a c) |
(/ a c) |
(/.f64 a c) |
(/ a c) |
(/.f64 a c) |
(/ a c) |
(/.f64 a c) |
(/ a c) |
(/.f64 a c) |
(/ a c) |
(/.f64 a c) |
(/ a c) |
(/.f64 a c) |
(/ a c) |
(/.f64 a c) |
(/ a c) |
(/.f64 a c) |
(/ a c) |
(/.f64 a c) |
(/ a c) |
(/.f64 a c) |
(/ a c) |
(/.f64 a c) |
(/ a c) |
(/.f64 a c) |
(/ a c) |
(/.f64 a c) |
(/ a c) |
(/.f64 a c) |
(/ a c) |
(/.f64 a c) |
(/ a c) |
(/.f64 a c) |
(/ a c) |
(/.f64 a c) |
(/ a c) |
(/.f64 a c) |
(/ a c) |
(/.f64 a c) |
(/ a c) |
(/.f64 a c) |
(/ a c) |
(/.f64 a c) |
(/ a c) |
(/.f64 a c) |
(/ a c) |
(/.f64 a c) |
(/ 1 c) |
(/.f64 #s(literal 1 binary64) c) |
(/ 1 c) |
(/.f64 #s(literal 1 binary64) c) |
(/ 1 c) |
(/.f64 #s(literal 1 binary64) c) |
(/ 1 c) |
(/.f64 #s(literal 1 binary64) c) |
(/ 1 c) |
(/.f64 #s(literal 1 binary64) c) |
(/ 1 c) |
(/.f64 #s(literal 1 binary64) c) |
(/ 1 c) |
(/.f64 #s(literal 1 binary64) c) |
(/ 1 c) |
(/.f64 #s(literal 1 binary64) c) |
(/ 1 c) |
(/.f64 #s(literal 1 binary64) c) |
(/ 1 c) |
(/.f64 #s(literal 1 binary64) c) |
(/ 1 c) |
(/.f64 #s(literal 1 binary64) c) |
(/ 1 c) |
(/.f64 #s(literal 1 binary64) c) |
(/ (* b d) (pow c 2)) |
(/.f64 (*.f64 b d) (*.f64 c c)) |
(/ (* b d) (pow c 2)) |
(/.f64 (*.f64 b d) (*.f64 c c)) |
(/ (* b d) (pow c 2)) |
(/.f64 (*.f64 b d) (*.f64 c c)) |
(/ (* b d) (pow c 2)) |
(/.f64 (*.f64 b d) (*.f64 c c)) |
(/ (* b d) (pow c 2)) |
(/.f64 (*.f64 b d) (*.f64 c c)) |
(/ (* b d) (pow c 2)) |
(/.f64 (*.f64 b d) (*.f64 c c)) |
(/ (* b d) (pow c 2)) |
(/.f64 (*.f64 b d) (*.f64 c c)) |
(/ (* b d) (pow c 2)) |
(/.f64 (*.f64 b d) (*.f64 c c)) |
(/ (* b d) (pow c 2)) |
(/.f64 (*.f64 b d) (*.f64 c c)) |
(/ (* b d) (pow c 2)) |
(/.f64 (*.f64 b d) (*.f64 c c)) |
(/ (* b d) (pow c 2)) |
(/.f64 (*.f64 b d) (*.f64 c c)) |
(/ (* b d) (pow c 2)) |
(/.f64 (*.f64 b d) (*.f64 c c)) |
(/ (* b d) (pow c 2)) |
(/.f64 (*.f64 b d) (*.f64 c c)) |
(/ (* b d) (pow c 2)) |
(/.f64 (*.f64 b d) (*.f64 c c)) |
(/ (* b d) (pow c 2)) |
(/.f64 (*.f64 b d) (*.f64 c c)) |
(/ (* b d) (pow c 2)) |
(/.f64 (*.f64 b d) (*.f64 c c)) |
(/ (* b d) (pow c 2)) |
(/.f64 (*.f64 b d) (*.f64 c c)) |
(/ (* b d) (pow c 2)) |
(/.f64 (*.f64 b d) (*.f64 c c)) |
(/ (* b d) (pow c 2)) |
(/.f64 (*.f64 b d) (*.f64 c c)) |
(/ (* b d) (pow c 2)) |
(/.f64 (*.f64 b d) (*.f64 c c)) |
(/ (* b d) (pow c 2)) |
(/.f64 (*.f64 b d) (*.f64 c c)) |
(/ (* b d) (pow c 2)) |
(/.f64 (*.f64 b d) (*.f64 c c)) |
(/ (* b d) (pow c 2)) |
(/.f64 (*.f64 b d) (*.f64 c c)) |
(/ (* b d) (pow c 2)) |
(/.f64 (*.f64 b d) (*.f64 c c)) |
(/ (* b d) (pow c 2)) |
(/.f64 (*.f64 b d) (*.f64 c c)) |
(/ (* b d) (pow c 2)) |
(/.f64 (*.f64 b d) (*.f64 c c)) |
(/ (* b d) (pow c 2)) |
(/.f64 (*.f64 b d) (*.f64 c c)) |
(/ (* b d) (pow c 2)) |
(/.f64 (*.f64 b d) (*.f64 c c)) |
(/ (* b d) (pow c 2)) |
(/.f64 (*.f64 b d) (*.f64 c c)) |
(/ (* b d) (pow c 2)) |
(/.f64 (*.f64 b d) (*.f64 c c)) |
(/ (* b d) (pow c 2)) |
(/.f64 (*.f64 b d) (*.f64 c c)) |
(/ (* b d) (pow c 2)) |
(/.f64 (*.f64 b d) (*.f64 c c)) |
(/ (* b d) (pow c 2)) |
(/.f64 (*.f64 b d) (*.f64 c c)) |
(/ (* b d) (pow c 2)) |
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(* -1 (* a (+ (* -1 (/ b a)) (* -1 (/ c d))))) |
(*.f64 a (+.f64 (/.f64 b a) (/.f64 c d))) |
(* -1 (* a (+ (* -1 (/ b a)) (* -1 (/ c d))))) |
(*.f64 a (+.f64 (/.f64 b a) (/.f64 c d))) |
(* -1 (* a (+ (* -1 (/ b a)) (* -1 (/ c d))))) |
(*.f64 a (+.f64 (/.f64 b a) (/.f64 c d))) |
(/ (* a c) d) |
(/.f64 (*.f64 a c) d) |
(/ (+ (* a c) (* b d)) d) |
(/.f64 (fma.f64 a c (*.f64 b d)) d) |
(/ (+ (* a c) (* b d)) d) |
(/.f64 (fma.f64 a c (*.f64 b d)) d) |
(/ (+ (* a c) (* b d)) d) |
(/.f64 (fma.f64 a c (*.f64 b d)) d) |
b |
(+ b (/ (* a c) d)) |
(fma.f64 a (/.f64 c d) b) |
(+ b (/ (* a c) d)) |
(fma.f64 a (/.f64 c d) b) |
(+ b (/ (* a c) d)) |
(fma.f64 a (/.f64 c d) b) |
b |
(+ b (/ (* a c) d)) |
(fma.f64 a (/.f64 c d) b) |
(+ b (/ (* a c) d)) |
(fma.f64 a (/.f64 c d) b) |
(+ b (/ (* a c) d)) |
(fma.f64 a (/.f64 c d) b) |
(/ (* a c) d) |
(/.f64 (*.f64 a c) d) |
(+ b (/ (* a c) d)) |
(fma.f64 a (/.f64 c d) b) |
(+ b (/ (* a c) d)) |
(fma.f64 a (/.f64 c d) b) |
(+ b (/ (* a c) d)) |
(fma.f64 a (/.f64 c d) b) |
b |
(* b (+ 1 (/ (* a c) (* b d)))) |
(fma.f64 a (*.f64 (/.f64 c (*.f64 b d)) b) b) |
(* b (+ 1 (/ (* a c) (* b d)))) |
(fma.f64 a (*.f64 (/.f64 c (*.f64 b d)) b) b) |
(* b (+ 1 (/ (* a c) (* b d)))) |
(fma.f64 a (*.f64 (/.f64 c (*.f64 b d)) b) b) |
b |
(* -1 (* b (- (* -1 (/ (* a c) (* b d))) 1))) |
(*.f64 (neg.f64 b) (-.f64 #s(literal -1 binary64) (*.f64 a (/.f64 c (*.f64 b d))))) |
(* -1 (* b (- (* -1 (/ (* a c) (* b d))) 1))) |
(*.f64 (neg.f64 b) (-.f64 #s(literal -1 binary64) (*.f64 a (/.f64 c (*.f64 b d))))) |
(* -1 (* b (- (* -1 (/ (* a c) (* b d))) 1))) |
(*.f64 (neg.f64 b) (-.f64 #s(literal -1 binary64) (*.f64 a (/.f64 c (*.f64 b d))))) |
(/ a d) |
(/.f64 a d) |
(/ a d) |
(/.f64 a d) |
(/ a d) |
(/.f64 a d) |
(/ a d) |
(/.f64 a d) |
(/ a d) |
(/.f64 a d) |
(/ a d) |
(/.f64 a d) |
(/ a d) |
(/.f64 a d) |
(/ a d) |
(/.f64 a d) |
(/ a d) |
(/.f64 a d) |
(/ a d) |
(/.f64 a d) |
(/ a d) |
(/.f64 a d) |
(/ a d) |
(/.f64 a d) |
(/ a d) |
(/.f64 a d) |
(/ a d) |
(/.f64 a d) |
(/ a d) |
(/.f64 a d) |
(/ a d) |
(/.f64 a d) |
(/ a d) |
(/.f64 a d) |
(/ a d) |
(/.f64 a d) |
(/ a d) |
(/.f64 a d) |
(/ a d) |
(/.f64 a d) |
(/ a d) |
(/.f64 a d) |
(/ a d) |
(/.f64 a d) |
(/ a d) |
(/.f64 a d) |
(/ a d) |
(/.f64 a d) |
Compiled 20 960 to 1 951 computations (90.7% saved)
26 alts after pruning (17 fresh and 9 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1 180 | 8 | 1 188 |
| Fresh | 6 | 9 | 15 |
| Picked | 1 | 4 | 5 |
| Done | 0 | 5 | 5 |
| Total | 1 187 | 26 | 1 213 |
| Status | Accuracy | Program |
|---|---|---|
| 41.5% | (fma.f64 c (fma.f64 (/.f64 (/.f64 b d) d) (/.f64 (neg.f64 c) d) (/.f64 a (*.f64 d d))) (/.f64 b d)) | |
| ✓ | 49.6% | (fma.f64 b (/.f64 d (*.f64 c c)) (/.f64 a c)) |
| 49.0% | (/.f64 (fma.f64 (/.f64 c d) a b) d) | |
| 26.9% | (/.f64 (fma.f64 (exp.f64 (*.f64 (log.f64 (/.f64 c b)) #s(literal -1 binary64))) d a) c) | |
| ✓ | 48.4% | (/.f64 (fma.f64 c (/.f64 a d) b) d) |
| ✓ | 56.7% | (/.f64 (fma.f64 b (/.f64 d c) a) c) |
| 35.5% | (/.f64 (fma.f64 b d (*.f64 c a)) (*.f64 c c)) | |
| 23.6% | (/.f64 (/.f64 (*.f64 b d) c) c) | |
| 18.9% | (/.f64 (/.f64 (*.f64 a c) d) d) | |
| 52.8% | (/.f64 (+.f64 (/.f64 (*.f64 d (fma.f64 d (/.f64 (neg.f64 a) c) b)) c) a) c) | |
| ✓ | 19.1% | (/.f64 (*.f64 b d) (*.f64 c c)) |
| ✓ | 40.2% | (/.f64 (*.f64 a c) (fma.f64 d d (*.f64 c c))) |
| 18.1% | (/.f64 (*.f64 a c) (*.f64 d d)) | |
| 21.9% | (/.f64 b (*.f64 (/.f64 c d) c)) | |
| ✓ | 39.3% | (/.f64 b d) |
| ✓ | 44.0% | (/.f64 a c) |
| 40.2% | (/.f64 #s(literal 1 binary64) (fma.f64 c (fma.f64 c (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 b d)) (/.f64 (*.f64 a a) (*.f64 b (*.f64 b (*.f64 b d))))) (/.f64 a (*.f64 (neg.f64 b) b))) (/.f64 d b))) | |
| ✓ | 39.1% | (/.f64 #s(literal 1 binary64) (/.f64 d b)) |
| 18.6% | (*.f64 (/.f64 d (*.f64 c c)) b) | |
| 24.3% | (*.f64 (/.f64 d c) (/.f64 b c)) | |
| 39.2% | (*.f64 (/.f64 #s(literal 1 binary64) d) b) | |
| 43.9% | (*.f64 (/.f64 #s(literal 1 binary64) c) (pow.f64 (/.f64 #s(literal 1 binary64) a) #s(literal -1 binary64))) | |
| ✓ | 43.9% | (*.f64 (/.f64 #s(literal 1 binary64) c) a) |
| 22.6% | (*.f64 (exp.f64 (*.f64 (log.f64 c) #s(literal -1 binary64))) a) | |
| 41.9% | (*.f64 c (/.f64 a (fma.f64 d d (*.f64 c c)))) | |
| 18.6% | (*.f64 a (/.f64 c (*.f64 d d))) |
Compiled 889 to 366 computations (58.8% saved)
| Inputs |
|---|
(/.f64 a c) |
(/.f64 b d) |
(*.f64 (/.f64 #s(literal 1 binary64) c) a) |
(*.f64 (/.f64 #s(literal 1 binary64) d) b) |
(*.f64 a (/.f64 c (*.f64 d d))) |
(*.f64 b (/.f64 d (*.f64 c c))) |
(*.f64 (/.f64 d (*.f64 c c)) b) |
(/.f64 (*.f64 a c) (*.f64 d d)) |
(/.f64 (*.f64 b d) (*.f64 c c)) |
(/.f64 (*.f64 b d) (*.f64 d d)) |
(/.f64 #s(literal 1 binary64) (/.f64 d b)) |
(*.f64 c (/.f64 a (fma.f64 d d (*.f64 c c)))) |
(*.f64 (/.f64 d c) (/.f64 b c)) |
(*.f64 (/.f64 d (fma.f64 d d (*.f64 c c))) b) |
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) b) d)) |
(/.f64 b (*.f64 (/.f64 c d) c)) |
(/.f64 (*.f64 a c) (fma.f64 d d (*.f64 c c))) |
(/.f64 (*.f64 b d) (fma.f64 d d (*.f64 c c))) |
(/.f64 (/.f64 (*.f64 a c) d) d) |
(/.f64 (/.f64 (*.f64 b d) c) c) |
(/.f64 (fma.f64 b d (*.f64 a c)) (*.f64 c c)) |
(/.f64 (fma.f64 b d (*.f64 c a)) (*.f64 c c)) |
(/.f64 (fma.f64 a (/.f64 c d) b) d) |
(/.f64 (fma.f64 b (/.f64 d c) a) c) |
(/.f64 (fma.f64 c (/.f64 a d) b) d) |
(/.f64 (fma.f64 (/.f64 b c) d a) c) |
(/.f64 (fma.f64 (/.f64 c d) a b) d) |
(*.f64 (fma.f64 d (/.f64 b c) a) (/.f64 #s(literal 1 binary64) c)) |
(fma.f64 b (/.f64 d (*.f64 c c)) (/.f64 a c)) |
(fma.f64 c (/.f64 a (*.f64 d d)) (/.f64 b d)) |
(/.f64 (+.f64 (*.f64 a c) (*.f64 b d)) (+.f64 (*.f64 c c) (*.f64 d d))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 d d (*.f64 c c)) (*.f64 a c))) |
(fma.f64 (/.f64 d c) (/.f64 b c) (/.f64 a c)) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 c c (*.f64 d d)) (fma.f64 a c (*.f64 b d)))) |
(fma.f64 (/.f64 #s(literal 1 binary64) c) (/.f64 (*.f64 d b) c) (/.f64 a c)) |
(/.f64 (+.f64 (/.f64 (*.f64 d (fma.f64 d (/.f64 (neg.f64 a) c) b)) c) a) c) |
(/.f64 #s(literal -1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 a c (*.f64 b d))) (neg.f64 (fma.f64 c c (*.f64 d d))))) |
(/.f64 (+.f64 a (/.f64 (fma.f64 d (/.f64 (*.f64 d (neg.f64 a)) c) (*.f64 b d)) c)) c) |
(*.f64 (*.f64 c c) (-.f64 (/.f64 a (*.f64 d (*.f64 d c))) (/.f64 b (*.f64 d (*.f64 d d))))) |
(fma.f64 a (/.f64 c (fma.f64 d d (*.f64 c c))) (*.f64 b (/.f64 d (fma.f64 d d (*.f64 c c))))) |
(fma.f64 c (fma.f64 (neg.f64 c) (/.f64 b (*.f64 d (*.f64 d d))) (/.f64 a (*.f64 d d))) (/.f64 b d)) |
(fma.f64 c (fma.f64 (neg.f64 c) (/.f64 b (*.f64 d (*.f64 d d))) (/.f64 (/.f64 a d) d)) (/.f64 b d)) |
(fma.f64 c (fma.f64 (/.f64 (/.f64 b d) d) (/.f64 (neg.f64 c) d) (/.f64 a (*.f64 d d))) (/.f64 b d)) |
(/.f64 #s(literal 1 binary64) (fma.f64 c (fma.f64 c (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 b d)) (/.f64 (*.f64 a a) (*.f64 b (*.f64 b (*.f64 b d))))) (/.f64 a (*.f64 (neg.f64 b) b))) (/.f64 d b))) |
(*.f64 (/.f64 #s(literal 1 binary64) c) (pow.f64 (/.f64 #s(literal 1 binary64) a) #s(literal -1 binary64))) |
(fma.f64 c (-.f64 (/.f64 a (*.f64 d d)) (*.f64 (fma.f64 a (/.f64 c (pow.f64 d #s(literal 4 binary64))) (/.f64 b (*.f64 d (*.f64 d d)))) c)) (/.f64 b d)) |
(*.f64 (exp.f64 (*.f64 (log.f64 c) #s(literal -1 binary64))) a) |
(/.f64 (fma.f64 (exp.f64 (*.f64 (log.f64 (/.f64 c b)) #s(literal -1 binary64))) d a) c) |
(pow.f64 (pow.f64 (/.f64 (fma.f64 a c (*.f64 b d)) (fma.f64 c c (*.f64 d d))) #s(literal 1/2 binary64)) #s(literal 2 binary64)) |
| Outputs |
|---|
(/.f64 (fma.f64 b (/.f64 d c) a) c) |
(fma.f64 a (/.f64 c (fma.f64 d d (*.f64 c c))) (*.f64 b (/.f64 d (fma.f64 d d (*.f64 c c))))) |
(/.f64 (fma.f64 a (/.f64 c d) b) d) |
(fma.f64 a (/.f64 c (fma.f64 d d (*.f64 c c))) (*.f64 b (/.f64 d (fma.f64 d d (*.f64 c c))))) |
(/.f64 (fma.f64 b (/.f64 d c) a) c) |
5 calls:
| 100.0ms | b |
| 16.0ms | d |
| 14.0ms | c |
| 14.0ms | a |
| 13.0ms | (/.f64 (+.f64 (*.f64 a c) (*.f64 b d)) (+.f64 (*.f64 c c) (*.f64 d d))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 71.1% | 5 | a |
| 72.1% | 4 | b |
| 86.9% | 5 | c |
| 86.7% | 5 | d |
| 74.7% | 2 | (/.f64 (+.f64 (*.f64 a c) (*.f64 b d)) (+.f64 (*.f64 c c) (*.f64 d d))) |
Compiled 39 to 27 computations (30.8% saved)
| Inputs |
|---|
(/.f64 a c) |
(/.f64 b d) |
(*.f64 (/.f64 #s(literal 1 binary64) c) a) |
(*.f64 (/.f64 #s(literal 1 binary64) d) b) |
(*.f64 a (/.f64 c (*.f64 d d))) |
(*.f64 b (/.f64 d (*.f64 c c))) |
(*.f64 (/.f64 d (*.f64 c c)) b) |
(/.f64 (*.f64 a c) (*.f64 d d)) |
(/.f64 (*.f64 b d) (*.f64 c c)) |
(/.f64 (*.f64 b d) (*.f64 d d)) |
(/.f64 #s(literal 1 binary64) (/.f64 d b)) |
(*.f64 c (/.f64 a (fma.f64 d d (*.f64 c c)))) |
(*.f64 (/.f64 d c) (/.f64 b c)) |
(*.f64 (/.f64 d (fma.f64 d d (*.f64 c c))) b) |
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) b) d)) |
(/.f64 b (*.f64 (/.f64 c d) c)) |
(/.f64 (*.f64 a c) (fma.f64 d d (*.f64 c c))) |
(/.f64 (*.f64 b d) (fma.f64 d d (*.f64 c c))) |
(/.f64 (/.f64 (*.f64 a c) d) d) |
(/.f64 (/.f64 (*.f64 b d) c) c) |
(/.f64 (fma.f64 b d (*.f64 a c)) (*.f64 c c)) |
(/.f64 (fma.f64 b d (*.f64 c a)) (*.f64 c c)) |
(/.f64 (fma.f64 a (/.f64 c d) b) d) |
(/.f64 (fma.f64 b (/.f64 d c) a) c) |
(/.f64 (fma.f64 c (/.f64 a d) b) d) |
(/.f64 (fma.f64 (/.f64 b c) d a) c) |
(/.f64 (fma.f64 (/.f64 c d) a b) d) |
(*.f64 (fma.f64 d (/.f64 b c) a) (/.f64 #s(literal 1 binary64) c)) |
(fma.f64 b (/.f64 d (*.f64 c c)) (/.f64 a c)) |
(fma.f64 c (/.f64 a (*.f64 d d)) (/.f64 b d)) |
(/.f64 (+.f64 (*.f64 a c) (*.f64 b d)) (+.f64 (*.f64 c c) (*.f64 d d))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 d d (*.f64 c c)) (*.f64 a c))) |
(fma.f64 (/.f64 d c) (/.f64 b c) (/.f64 a c)) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 c c (*.f64 d d)) (fma.f64 a c (*.f64 b d)))) |
(fma.f64 (/.f64 #s(literal 1 binary64) c) (/.f64 (*.f64 d b) c) (/.f64 a c)) |
(/.f64 (+.f64 (/.f64 (*.f64 d (fma.f64 d (/.f64 (neg.f64 a) c) b)) c) a) c) |
(/.f64 #s(literal -1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 a c (*.f64 b d))) (neg.f64 (fma.f64 c c (*.f64 d d))))) |
(/.f64 (+.f64 a (/.f64 (fma.f64 d (/.f64 (*.f64 d (neg.f64 a)) c) (*.f64 b d)) c)) c) |
(*.f64 (*.f64 c c) (-.f64 (/.f64 a (*.f64 d (*.f64 d c))) (/.f64 b (*.f64 d (*.f64 d d))))) |
| Outputs |
|---|
(/.f64 (fma.f64 a (/.f64 c d) b) d) |
(/.f64 (+.f64 (*.f64 a c) (*.f64 b d)) (+.f64 (*.f64 c c) (*.f64 d d))) |
(fma.f64 (/.f64 #s(literal 1 binary64) c) (/.f64 (*.f64 d b) c) (/.f64 a c)) |
(/.f64 (+.f64 (*.f64 a c) (*.f64 b d)) (+.f64 (*.f64 c c) (*.f64 d d))) |
(/.f64 (fma.f64 c (/.f64 a d) b) d) |
2 calls:
| 12.0ms | d |
| 11.0ms | c |
| Accuracy | Segments | Branch |
|---|---|---|
| 85.9% | 5 | d |
| 85.1% | 5 | c |
Compiled 10 to 8 computations (20% saved)
| Inputs |
|---|
(/.f64 a c) |
(/.f64 b d) |
(*.f64 (/.f64 #s(literal 1 binary64) c) a) |
(*.f64 (/.f64 #s(literal 1 binary64) d) b) |
(*.f64 a (/.f64 c (*.f64 d d))) |
(*.f64 b (/.f64 d (*.f64 c c))) |
(*.f64 (/.f64 d (*.f64 c c)) b) |
(/.f64 (*.f64 a c) (*.f64 d d)) |
(/.f64 (*.f64 b d) (*.f64 c c)) |
(/.f64 (*.f64 b d) (*.f64 d d)) |
(/.f64 #s(literal 1 binary64) (/.f64 d b)) |
(*.f64 c (/.f64 a (fma.f64 d d (*.f64 c c)))) |
(*.f64 (/.f64 d c) (/.f64 b c)) |
(*.f64 (/.f64 d (fma.f64 d d (*.f64 c c))) b) |
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) b) d)) |
(/.f64 b (*.f64 (/.f64 c d) c)) |
(/.f64 (*.f64 a c) (fma.f64 d d (*.f64 c c))) |
(/.f64 (*.f64 b d) (fma.f64 d d (*.f64 c c))) |
(/.f64 (/.f64 (*.f64 a c) d) d) |
(/.f64 (/.f64 (*.f64 b d) c) c) |
(/.f64 (fma.f64 b d (*.f64 a c)) (*.f64 c c)) |
(/.f64 (fma.f64 b d (*.f64 c a)) (*.f64 c c)) |
(/.f64 (fma.f64 a (/.f64 c d) b) d) |
(/.f64 (fma.f64 b (/.f64 d c) a) c) |
(/.f64 (fma.f64 c (/.f64 a d) b) d) |
(/.f64 (fma.f64 (/.f64 b c) d a) c) |
(/.f64 (fma.f64 (/.f64 c d) a b) d) |
(*.f64 (fma.f64 d (/.f64 b c) a) (/.f64 #s(literal 1 binary64) c)) |
(fma.f64 b (/.f64 d (*.f64 c c)) (/.f64 a c)) |
(fma.f64 c (/.f64 a (*.f64 d d)) (/.f64 b d)) |
(/.f64 (+.f64 (*.f64 a c) (*.f64 b d)) (+.f64 (*.f64 c c) (*.f64 d d))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 d d (*.f64 c c)) (*.f64 a c))) |
(fma.f64 (/.f64 d c) (/.f64 b c) (/.f64 a c)) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 c c (*.f64 d d)) (fma.f64 a c (*.f64 b d)))) |
| Outputs |
|---|
(/.f64 (fma.f64 a (/.f64 c d) b) d) |
(/.f64 (+.f64 (*.f64 a c) (*.f64 b d)) (+.f64 (*.f64 c c) (*.f64 d d))) |
(/.f64 (fma.f64 b (/.f64 d c) a) c) |
(/.f64 (+.f64 (*.f64 a c) (*.f64 b d)) (+.f64 (*.f64 c c) (*.f64 d d))) |
(/.f64 (fma.f64 c (/.f64 a d) b) d) |
1 calls:
| 10.0ms | d |
| Accuracy | Segments | Branch |
|---|---|---|
| 85.7% | 5 | d |
Compiled 5 to 4 computations (20% saved)
| Inputs |
|---|
(/.f64 a c) |
(/.f64 b d) |
(*.f64 (/.f64 #s(literal 1 binary64) c) a) |
(*.f64 (/.f64 #s(literal 1 binary64) d) b) |
(*.f64 a (/.f64 c (*.f64 d d))) |
(*.f64 b (/.f64 d (*.f64 c c))) |
(*.f64 (/.f64 d (*.f64 c c)) b) |
(/.f64 (*.f64 a c) (*.f64 d d)) |
(/.f64 (*.f64 b d) (*.f64 c c)) |
(/.f64 (*.f64 b d) (*.f64 d d)) |
(/.f64 #s(literal 1 binary64) (/.f64 d b)) |
(*.f64 c (/.f64 a (fma.f64 d d (*.f64 c c)))) |
(*.f64 (/.f64 d c) (/.f64 b c)) |
(*.f64 (/.f64 d (fma.f64 d d (*.f64 c c))) b) |
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) b) d)) |
(/.f64 b (*.f64 (/.f64 c d) c)) |
(/.f64 (*.f64 a c) (fma.f64 d d (*.f64 c c))) |
(/.f64 (*.f64 b d) (fma.f64 d d (*.f64 c c))) |
(/.f64 (/.f64 (*.f64 a c) d) d) |
(/.f64 (/.f64 (*.f64 b d) c) c) |
(/.f64 (fma.f64 b d (*.f64 a c)) (*.f64 c c)) |
(/.f64 (fma.f64 b d (*.f64 c a)) (*.f64 c c)) |
(/.f64 (fma.f64 a (/.f64 c d) b) d) |
(/.f64 (fma.f64 b (/.f64 d c) a) c) |
(/.f64 (fma.f64 c (/.f64 a d) b) d) |
(/.f64 (fma.f64 (/.f64 b c) d a) c) |
(/.f64 (fma.f64 (/.f64 c d) a b) d) |
(*.f64 (fma.f64 d (/.f64 b c) a) (/.f64 #s(literal 1 binary64) c)) |
(fma.f64 b (/.f64 d (*.f64 c c)) (/.f64 a c)) |
(fma.f64 c (/.f64 a (*.f64 d d)) (/.f64 b d)) |
| Outputs |
|---|
(/.f64 (fma.f64 c (/.f64 a d) b) d) |
(/.f64 (fma.f64 b (/.f64 d c) a) c) |
(/.f64 (fma.f64 c (/.f64 a d) b) d) |
2 calls:
| 11.0ms | c |
| 9.0ms | d |
| Accuracy | Segments | Branch |
|---|---|---|
| 79.0% | 3 | c |
| 80.3% | 3 | d |
Compiled 10 to 8 computations (20% saved)
| Inputs |
|---|
(/.f64 a c) |
(/.f64 b d) |
(*.f64 (/.f64 #s(literal 1 binary64) c) a) |
(*.f64 (/.f64 #s(literal 1 binary64) d) b) |
(*.f64 a (/.f64 c (*.f64 d d))) |
(*.f64 b (/.f64 d (*.f64 c c))) |
(*.f64 (/.f64 d (*.f64 c c)) b) |
(/.f64 (*.f64 a c) (*.f64 d d)) |
(/.f64 (*.f64 b d) (*.f64 c c)) |
(/.f64 (*.f64 b d) (*.f64 d d)) |
(/.f64 #s(literal 1 binary64) (/.f64 d b)) |
(*.f64 c (/.f64 a (fma.f64 d d (*.f64 c c)))) |
(*.f64 (/.f64 d c) (/.f64 b c)) |
(*.f64 (/.f64 d (fma.f64 d d (*.f64 c c))) b) |
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) b) d)) |
(/.f64 b (*.f64 (/.f64 c d) c)) |
(/.f64 (*.f64 a c) (fma.f64 d d (*.f64 c c))) |
(/.f64 (*.f64 b d) (fma.f64 d d (*.f64 c c))) |
(/.f64 (/.f64 (*.f64 a c) d) d) |
(/.f64 (/.f64 (*.f64 b d) c) c) |
(/.f64 (fma.f64 b d (*.f64 a c)) (*.f64 c c)) |
(/.f64 (fma.f64 b d (*.f64 c a)) (*.f64 c c)) |
(/.f64 (fma.f64 a (/.f64 c d) b) d) |
(/.f64 (fma.f64 b (/.f64 d c) a) c) |
| Outputs |
|---|
(/.f64 (fma.f64 a (/.f64 c d) b) d) |
(/.f64 (fma.f64 b (/.f64 d c) a) c) |
(/.f64 (fma.f64 a (/.f64 c d) b) d) |
1 calls:
| 7.0ms | d |
| Accuracy | Segments | Branch |
|---|---|---|
| 80.2% | 3 | d |
Compiled 5 to 4 computations (20% saved)
| Inputs |
|---|
(/.f64 a c) |
(/.f64 b d) |
(*.f64 (/.f64 #s(literal 1 binary64) c) a) |
(*.f64 (/.f64 #s(literal 1 binary64) d) b) |
(*.f64 a (/.f64 c (*.f64 d d))) |
(*.f64 b (/.f64 d (*.f64 c c))) |
(*.f64 (/.f64 d (*.f64 c c)) b) |
(/.f64 (*.f64 a c) (*.f64 d d)) |
(/.f64 (*.f64 b d) (*.f64 c c)) |
(/.f64 (*.f64 b d) (*.f64 d d)) |
(/.f64 #s(literal 1 binary64) (/.f64 d b)) |
(*.f64 c (/.f64 a (fma.f64 d d (*.f64 c c)))) |
(*.f64 (/.f64 d c) (/.f64 b c)) |
(*.f64 (/.f64 d (fma.f64 d d (*.f64 c c))) b) |
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) b) d)) |
(/.f64 b (*.f64 (/.f64 c d) c)) |
(/.f64 (*.f64 a c) (fma.f64 d d (*.f64 c c))) |
(/.f64 (*.f64 b d) (fma.f64 d d (*.f64 c c))) |
(/.f64 (/.f64 (*.f64 a c) d) d) |
(/.f64 (/.f64 (*.f64 b d) c) c) |
(/.f64 (fma.f64 b d (*.f64 a c)) (*.f64 c c)) |
(/.f64 (fma.f64 b d (*.f64 c a)) (*.f64 c c)) |
(/.f64 (fma.f64 a (/.f64 c d) b) d) |
| Outputs |
|---|
(/.f64 a c) |
(/.f64 (fma.f64 a (/.f64 c d) b) d) |
(/.f64 a c) |
3 calls:
| 8.0ms | c |
| 7.0ms | d |
| 6.0ms | (/.f64 (+.f64 (*.f64 a c) (*.f64 b d)) (+.f64 (*.f64 c c) (*.f64 d d))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 60.1% | 4 | (/.f64 (+.f64 (*.f64 a c) (*.f64 b d)) (+.f64 (*.f64 c c) (*.f64 d d))) |
| 71.1% | 3 | c |
| 71.9% | 4 | d |
Compiled 29 to 19 computations (34.5% saved)
| Inputs |
|---|
(/.f64 a c) |
(/.f64 b d) |
(*.f64 (/.f64 #s(literal 1 binary64) c) a) |
(*.f64 (/.f64 #s(literal 1 binary64) d) b) |
(*.f64 a (/.f64 c (*.f64 d d))) |
(*.f64 b (/.f64 d (*.f64 c c))) |
(*.f64 (/.f64 d (*.f64 c c)) b) |
(/.f64 (*.f64 a c) (*.f64 d d)) |
(/.f64 (*.f64 b d) (*.f64 c c)) |
(/.f64 (*.f64 b d) (*.f64 d d)) |
(/.f64 #s(literal 1 binary64) (/.f64 d b)) |
(*.f64 c (/.f64 a (fma.f64 d d (*.f64 c c)))) |
(*.f64 (/.f64 d c) (/.f64 b c)) |
(*.f64 (/.f64 d (fma.f64 d d (*.f64 c c))) b) |
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) b) d)) |
(/.f64 b (*.f64 (/.f64 c d) c)) |
(/.f64 (*.f64 a c) (fma.f64 d d (*.f64 c c))) |
(/.f64 (*.f64 b d) (fma.f64 d d (*.f64 c c))) |
(/.f64 (/.f64 (*.f64 a c) d) d) |
(/.f64 (/.f64 (*.f64 b d) c) c) |
(/.f64 (fma.f64 b d (*.f64 a c)) (*.f64 c c)) |
(/.f64 (fma.f64 b d (*.f64 c a)) (*.f64 c c)) |
| Outputs |
|---|
(/.f64 a c) |
(/.f64 (fma.f64 b d (*.f64 a c)) (*.f64 c c)) |
(/.f64 b d) |
(/.f64 a c) |
4 calls:
| 8.0ms | b |
| 7.0ms | a |
| 6.0ms | d |
| 6.0ms | c |
| Accuracy | Segments | Branch |
|---|---|---|
| 54.9% | 3 | a |
| 67.1% | 4 | d |
| 60.6% | 5 | b |
| 67.2% | 4 | c |
Compiled 20 to 16 computations (20% saved)
| Inputs |
|---|
(/.f64 a c) |
(/.f64 b d) |
(*.f64 (/.f64 #s(literal 1 binary64) c) a) |
(*.f64 (/.f64 #s(literal 1 binary64) d) b) |
(*.f64 a (/.f64 c (*.f64 d d))) |
(*.f64 b (/.f64 d (*.f64 c c))) |
(*.f64 (/.f64 d (*.f64 c c)) b) |
(/.f64 (*.f64 a c) (*.f64 d d)) |
(/.f64 (*.f64 b d) (*.f64 c c)) |
(/.f64 (*.f64 b d) (*.f64 d d)) |
(/.f64 #s(literal 1 binary64) (/.f64 d b)) |
(*.f64 c (/.f64 a (fma.f64 d d (*.f64 c c)))) |
(*.f64 (/.f64 d c) (/.f64 b c)) |
(*.f64 (/.f64 d (fma.f64 d d (*.f64 c c))) b) |
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) b) d)) |
(/.f64 b (*.f64 (/.f64 c d) c)) |
(/.f64 (*.f64 a c) (fma.f64 d d (*.f64 c c))) |
(/.f64 (*.f64 b d) (fma.f64 d d (*.f64 c c))) |
(/.f64 (/.f64 (*.f64 a c) d) d) |
(/.f64 (/.f64 (*.f64 b d) c) c) |
| Outputs |
|---|
(/.f64 b d) |
(/.f64 a c) |
(*.f64 (/.f64 d (fma.f64 d d (*.f64 c c))) b) |
(/.f64 b d) |
2 calls:
| 6.0ms | d |
| 6.0ms | c |
| Accuracy | Segments | Branch |
|---|---|---|
| 67.1% | 4 | d |
| 66.4% | 4 | c |
Compiled 10 to 8 computations (20% saved)
| Inputs |
|---|
(/.f64 a c) |
(/.f64 b d) |
(*.f64 (/.f64 #s(literal 1 binary64) c) a) |
(*.f64 (/.f64 #s(literal 1 binary64) d) b) |
(*.f64 a (/.f64 c (*.f64 d d))) |
(*.f64 b (/.f64 d (*.f64 c c))) |
(*.f64 (/.f64 d (*.f64 c c)) b) |
(/.f64 (*.f64 a c) (*.f64 d d)) |
(/.f64 (*.f64 b d) (*.f64 c c)) |
(/.f64 (*.f64 b d) (*.f64 d d)) |
(/.f64 #s(literal 1 binary64) (/.f64 d b)) |
(*.f64 c (/.f64 a (fma.f64 d d (*.f64 c c)))) |
(*.f64 (/.f64 d c) (/.f64 b c)) |
| Outputs |
|---|
(/.f64 a c) |
(*.f64 c (/.f64 a (fma.f64 d d (*.f64 c c)))) |
(/.f64 b d) |
(/.f64 a c) |
2 calls:
| 4.0ms | d |
| 4.0ms | c |
| Accuracy | Segments | Branch |
|---|---|---|
| 66.4% | 4 | c |
| 64.8% | 3 | d |
Compiled 10 to 8 computations (20% saved)
| Inputs |
|---|
(/.f64 a c) |
(/.f64 b d) |
(*.f64 (/.f64 #s(literal 1 binary64) c) a) |
(*.f64 (/.f64 #s(literal 1 binary64) d) b) |
(*.f64 a (/.f64 c (*.f64 d d))) |
(*.f64 b (/.f64 d (*.f64 c c))) |
(*.f64 (/.f64 d (*.f64 c c)) b) |
(/.f64 (*.f64 a c) (*.f64 d d)) |
(/.f64 (*.f64 b d) (*.f64 c c)) |
(/.f64 (*.f64 b d) (*.f64 d d)) |
(/.f64 #s(literal 1 binary64) (/.f64 d b)) |
| Outputs |
|---|
(/.f64 b d) |
(/.f64 a c) |
(/.f64 b d) |
2 calls:
| 4.0ms | c |
| 4.0ms | d |
| Accuracy | Segments | Branch |
|---|---|---|
| 64.8% | 3 | d |
| 64.6% | 3 | c |
Compiled 10 to 8 computations (20% saved)
Total -0.0b remaining (-0%)
Threshold costs -0b (-0%)
| Inputs |
|---|
(/.f64 a c) |
| Outputs |
|---|
(/.f64 a c) |
5 calls:
| 1.0ms | c |
| 1.0ms | b |
| 1.0ms | d |
| 1.0ms | a |
| 1.0ms | (/.f64 (+.f64 (*.f64 a c) (*.f64 b d)) (+.f64 (*.f64 c c) (*.f64 d d))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 44.0% | 1 | a |
| 44.0% | 1 | b |
| 44.0% | 1 | (/.f64 (+.f64 (*.f64 a c) (*.f64 b d)) (+.f64 (*.f64 c c) (*.f64 d d))) |
| 44.0% | 1 | c |
| 44.0% | 1 | d |
Compiled 39 to 27 computations (30.8% saved)
| 4× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 11.0ms | 1.2086787884789748e+154 | 6.737035628782071e+154 |
| 12.0ms | 5.2743129483159174e-179 | 1.2528749234700925e-174 |
| 17.0ms | -2.8719350834272583e-58 | -1.8424845824129613e-69 |
| 9.0ms | -8.475475571111431e+147 | -1.7409628939253026e+147 |
| 34.0ms | 480× | 0 | valid |
Compiled 1 162 to 588 computations (49.4% saved)
ival-mult: 14.0ms (67.9% of total)ival-add: 4.0ms (19.4% of total)ival-div: 3.0ms (14.5% of total)ival-true: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 4× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 15.0ms | 1.846737168324842e+140 | 1.4931282131663912e+145 |
| 15.0ms | 1.1981082056060834e-97 | 1.5387964271366064e-78 |
| 13.0ms | -2.227813179689186e-9 | -2.3152827286949723e-11 |
| 14.0ms | -7.464612528255224e+146 | -1.2146146866778807e+139 |
| 40.0ms | 560× | 0 | valid |
Compiled 1 245 to 769 computations (38.2% saved)
ival-mult: 15.0ms (63.5% of total)ival-add: 4.0ms (16.9% of total)ival-div: 3.0ms (12.7% of total)ival-true: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 4× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 16.0ms | 1.846737168324842e+140 | 1.4931282131663912e+145 |
| 15.0ms | 1.1981082056060834e-97 | 1.5387964271366064e-78 |
| 11.0ms | -2.227813179689186e-9 | -2.3152827286949723e-11 |
| 20.0ms | -7.464612528255224e+146 | -1.2146146866778807e+139 |
| 45.0ms | 560× | 0 | valid |
Compiled 1 177 to 718 computations (39% saved)
ival-mult: 19.0ms (62.8% of total)ival-add: 7.0ms (23.1% of total)ival-div: 3.0ms (9.9% of total)ival-true: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 18.0ms | 1.31850457607477e+49 | 1.6705906793892558e+52 |
| 11.0ms | -2.227813179689186e-9 | -2.3152827286949723e-11 |
| 21.0ms | 240× | 0 | valid |
Compiled 412 to 258 computations (37.4% saved)
ival-mult: 12.0ms (78.7% of total)ival-add: 2.0ms (13.1% of total)ival-div: 1.0ms (6.6% of total)ival-true: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 12.0ms | 1.31850457607477e+49 | 1.6705906793892558e+52 |
| 11.0ms | -2.227813179689186e-9 | -2.3152827286949723e-11 |
| 15.0ms | 240× | 0 | valid |
Compiled 412 to 258 computations (37.4% saved)
ival-mult: 6.0ms (64.6% of total)ival-add: 2.0ms (21.5% of total)ival-div: 1.0ms (10.8% of total)ival-true: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 10.0ms | 5.333006017602146e-39 | 1.5471761523145164e-37 |
| 15.0ms | -3.692636591049779e+32 | -118354282452008860.0 |
| 17.0ms | 272× | 0 | valid |
Compiled 379 to 256 computations (32.5% saved)
ival-mult: 6.0ms (56.5% of total)ival-div: 2.0ms (18.8% of total)ival-add: 2.0ms (18.8% of total)ival-true: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 3× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 10.0ms | 5.333006017602146e-39 | 1.5471761523145164e-37 |
| 15.0ms | -5.471597561083222e-77 | -6.840639014774102e-91 |
| 14.0ms | -1.296855484620293e+153 | -8.475475571111431e+147 |
| 27.0ms | 416× | 0 | valid |
Compiled 571 to 387 computations (32.2% saved)
ival-mult: 10.0ms (62.1% of total)ival-add: 3.0ms (18.6% of total)ival-div: 2.0ms (12.4% of total)ival-true: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 3× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 16.0ms | 1.846737168324842e+140 | 1.4931282131663912e+145 |
| 12.0ms | 2.0101234390209277e-114 | 8.715860074004236e-111 |
| 13.0ms | -2.227813179689186e-9 | -2.3152827286949723e-11 |
| 27.0ms | 384× | 0 | valid |
Compiled 525 to 357 computations (32% saved)
ival-mult: 9.0ms (59.1% of total)ival-add: 3.0ms (19.7% of total)ival-div: 2.0ms (13.1% of total)ival-true: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 3× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 14.0ms | 5.333006017602146e-39 | 1.5471761523145164e-37 |
| 15.0ms | -5.471597561083222e-77 | -6.840639014774102e-91 |
| 14.0ms | -1.4035904278254747e+59 | -4.4036877096921195e+56 |
| 28.0ms | 400× | 0 | valid |
Compiled 548 to 372 computations (32.1% saved)
ival-mult: 10.0ms (63.6% of total)ival-add: 3.0ms (19.1% of total)ival-div: 2.0ms (12.7% of total)ival-true: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 13.0ms | 1.6705906793892558e+52 | 1.05203639248513e+56 |
| 11.0ms | -2.227813179689186e-9 | -2.3152827286949723e-11 |
| 17.0ms | 240× | 0 | valid |
Compiled 262 to 198 computations (24.4% saved)
ival-mult: 6.0ms (64% of total)ival-add: 2.0ms (21.3% of total)ival-div: 1.0ms (10.7% of total)ival-true: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 1× | egg-herbie |
| 8× | *-commutative_binary64 |
| 8× | if-if-or-not_binary32 |
| 4× | +-commutative_binary64 |
| 2× | 1-exp_binary64 |
| 2× | 1-exp_binary32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 124 | 405 |
| 1 | 145 | 405 |
| 1× | saturated |
| Inputs |
|---|
(if (<=.f64 c #s(literal -6200000000000000076518603423556074296684117456889195124706337507672149396313298244249857945896263036082597652974249478186443282137527424116471103488 binary64)) (/.f64 (fma.f64 b (/.f64 d c) a) c) (if (<=.f64 c #s(literal -7964942458125489/3885337784451458141838923813647037813284813678104279042503624819477808570410416996352 binary64)) (fma.f64 a (/.f64 c (fma.f64 d d (*.f64 c c))) (*.f64 b (/.f64 d (fma.f64 d d (*.f64 c c))))) (if (<=.f64 c #s(literal 2673305049388005/2227754207823337509102134573095845373483021732054960903603121346630505452738612005129840239901060253798165190221481644194672219102234100585084307285020612396607419274589973120157653414182912 binary64)) (/.f64 (fma.f64 a (/.f64 c d) b) d) (if (<=.f64 c #s(literal 12500000000000000089702894261377103801007685148645038975839096518281332710061042516033325873072023666298321726662095267032510191778683653244091706709639168 binary64)) (fma.f64 a (/.f64 c (fma.f64 d d (*.f64 c c))) (*.f64 b (/.f64 d (fma.f64 d d (*.f64 c c))))) (/.f64 (fma.f64 b (/.f64 d c) a) c))))) |
(if (<=.f64 d #s(literal -54999999999999995856782217794033543777047918854839284797535091765700111817594182285267951232722895270914328805700170328504758759671407312896 binary64)) (/.f64 (fma.f64 a (/.f64 c d) b) d) (if (<=.f64 d #s(literal -7272897730801609/309485009821345068724781056 binary64)) (/.f64 (+.f64 (*.f64 a c) (*.f64 b d)) (+.f64 (*.f64 c c) (*.f64 d d))) (if (<=.f64 d #s(literal 8485944879163265/4586997231980143023221641790604173881593129978336562247475177678773845752176969616140037106220251373109248 binary64)) (fma.f64 (/.f64 #s(literal 1 binary64) c) (/.f64 (*.f64 d b) c) (/.f64 a c)) (if (<=.f64 d #s(literal 660000000000000034896550618680223191169734454452764515606220520616397410246175982547156693040527008875190881951958504433732244319046750699520 binary64)) (/.f64 (+.f64 (*.f64 a c) (*.f64 b d)) (+.f64 (*.f64 c c) (*.f64 d d))) (/.f64 (fma.f64 c (/.f64 a d) b) d))))) |
(if (<=.f64 d #s(literal -14999999999999999831567468547825292232889880462623135604280018429599985818833024658754228498104565365070032132049551686088515334489814073344 binary64)) (/.f64 (fma.f64 a (/.f64 c d) b) d) (if (<=.f64 d #s(literal -290142196707511/9671406556917033397649408 binary64)) (/.f64 (+.f64 (*.f64 a c) (*.f64 b d)) (+.f64 (*.f64 c c) (*.f64 d d))) (if (<=.f64 d #s(literal 5771778251424973/19239260838083241802870625048898248928261591440656956380834127638791856333738872368854622194768025215237611323392 binary64)) (/.f64 (fma.f64 b (/.f64 d c) a) c) (if (<=.f64 d #s(literal 279999999999999982753398745367435344039751197269849681607260440781200390545708827776088718923309842543937443750998888058373096376644885544960 binary64)) (/.f64 (+.f64 (*.f64 a c) (*.f64 b d)) (+.f64 (*.f64 c c) (*.f64 d d))) (/.f64 (fma.f64 c (/.f64 a d) b) d))))) |
(if (<=.f64 d #s(literal -3771848557197643/19342813113834066795298816 binary64)) (/.f64 (fma.f64 c (/.f64 a d) b) d) (if (<=.f64 d #s(literal 79999999999999995719222155803854345574979318317056 binary64)) (/.f64 (fma.f64 b (/.f64 d c) a) c) (/.f64 (fma.f64 c (/.f64 a d) b) d))) |
(if (<=.f64 d #s(literal -332454600394023/151115727451828646838272 binary64)) (/.f64 (fma.f64 a (/.f64 c d) b) d) (if (<=.f64 d #s(literal 10200000000000000196699275635471779940670838163898368 binary64)) (/.f64 (fma.f64 b (/.f64 d c) a) c) (/.f64 (fma.f64 a (/.f64 c d) b) d))) |
(if (<=.f64 c #s(literal -18999999999999999427829825536 binary64)) (/.f64 a c) (if (<=.f64 c #s(literal 6225763134767673/47890485652059026823698344598447161988085597568237568 binary64)) (/.f64 (fma.f64 a (/.f64 c d) b) d) (/.f64 a c))) |
(if (<=.f64 c #s(literal -1539999999999999995926173455899798038708938097686849643737841431693446282645821989105874417637907890439247947791635843005161486009377169753990452215808 binary64)) (/.f64 a c) (if (<=.f64 c #s(literal -8276949764193527/533996758980227520598755426542388028650676130589163192486760401955554931445160137505740521734144 binary64)) (/.f64 (fma.f64 b d (*.f64 a c)) (*.f64 c c)) (if (<=.f64 c #s(literal 8811849359978861/95780971304118053647396689196894323976171195136475136 binary64)) (/.f64 b d) (/.f64 a c)))) |
(if (<=.f64 d #s(literal -6576556458703583/38685626227668133590597632 binary64)) (/.f64 b d) (if (<=.f64 d #s(literal 324922229779783/338460656020607282663380637712778772392143197677711984273740183180495765112991409062496875745134225841966700556811959451779072 binary64)) (/.f64 a c) (if (<=.f64 d #s(literal 1420000000000000054567690360153978219584541540623901085568341260858795381212064496965351363027109075913478822070321276692775401000860618063872 binary64)) (*.f64 (/.f64 d (fma.f64 d d (*.f64 c c))) b) (/.f64 b d)))) |
(if (<=.f64 c #s(literal -124999999999999993673391912134252358370455626376676259135488 binary64)) (/.f64 a c) (if (<=.f64 c #s(literal -3807566061702267/559936185544451052639360570142111069530411374308662383724997275240947967795040236345219373317901778944 binary64)) (*.f64 c (/.f64 a (fma.f64 d d (*.f64 c c)))) (if (<=.f64 c #s(literal 5363734393030611/191561942608236107294793378393788647952342390272950272 binary64)) (/.f64 b d) (/.f64 a c)))) |
(if (<=.f64 d #s(literal -2030995376952577/9671406556917033397649408 binary64)) (/.f64 b d) (if (<=.f64 d #s(literal 549999999999999975003873838340241420593026678583721984 binary64)) (/.f64 a c) (/.f64 b d))) |
(/.f64 a c) |
| Outputs |
|---|
(if (<=.f64 c #s(literal -6200000000000000076518603423556074296684117456889195124706337507672149396313298244249857945896263036082597652974249478186443282137527424116471103488 binary64)) (/.f64 (fma.f64 b (/.f64 d c) a) c) (if (<=.f64 c #s(literal -7964942458125489/3885337784451458141838923813647037813284813678104279042503624819477808570410416996352 binary64)) (fma.f64 a (/.f64 c (fma.f64 d d (*.f64 c c))) (*.f64 b (/.f64 d (fma.f64 d d (*.f64 c c))))) (if (<=.f64 c #s(literal 2673305049388005/2227754207823337509102134573095845373483021732054960903603121346630505452738612005129840239901060253798165190221481644194672219102234100585084307285020612396607419274589973120157653414182912 binary64)) (/.f64 (fma.f64 a (/.f64 c d) b) d) (if (<=.f64 c #s(literal 12500000000000000089702894261377103801007685148645038975839096518281332710061042516033325873072023666298321726662095267032510191778683653244091706709639168 binary64)) (fma.f64 a (/.f64 c (fma.f64 d d (*.f64 c c))) (*.f64 b (/.f64 d (fma.f64 d d (*.f64 c c))))) (/.f64 (fma.f64 b (/.f64 d c) a) c))))) |
(if (<=.f64 d #s(literal -54999999999999995856782217794033543777047918854839284797535091765700111817594182285267951232722895270914328805700170328504758759671407312896 binary64)) (/.f64 (fma.f64 a (/.f64 c d) b) d) (if (<=.f64 d #s(literal -7272897730801609/309485009821345068724781056 binary64)) (/.f64 (+.f64 (*.f64 a c) (*.f64 b d)) (+.f64 (*.f64 c c) (*.f64 d d))) (if (<=.f64 d #s(literal 8485944879163265/4586997231980143023221641790604173881593129978336562247475177678773845752176969616140037106220251373109248 binary64)) (fma.f64 (/.f64 #s(literal 1 binary64) c) (/.f64 (*.f64 d b) c) (/.f64 a c)) (if (<=.f64 d #s(literal 660000000000000034896550618680223191169734454452764515606220520616397410246175982547156693040527008875190881951958504433732244319046750699520 binary64)) (/.f64 (+.f64 (*.f64 a c) (*.f64 b d)) (+.f64 (*.f64 c c) (*.f64 d d))) (/.f64 (fma.f64 c (/.f64 a d) b) d))))) |
(if (<=.f64 d #s(literal -54999999999999995856782217794033543777047918854839284797535091765700111817594182285267951232722895270914328805700170328504758759671407312896 binary64)) (/.f64 (fma.f64 a (/.f64 c d) b) d) (if (<=.f64 d #s(literal -7272897730801609/309485009821345068724781056 binary64)) (/.f64 (+.f64 (*.f64 c a) (*.f64 b d)) (+.f64 (*.f64 c c) (*.f64 d d))) (if (<=.f64 d #s(literal 8485944879163265/4586997231980143023221641790604173881593129978336562247475177678773845752176969616140037106220251373109248 binary64)) (fma.f64 (/.f64 #s(literal 1 binary64) c) (/.f64 (*.f64 b d) c) (/.f64 a c)) (if (<=.f64 d #s(literal 660000000000000034896550618680223191169734454452764515606220520616397410246175982547156693040527008875190881951958504433732244319046750699520 binary64)) (/.f64 (+.f64 (*.f64 c a) (*.f64 b d)) (+.f64 (*.f64 c c) (*.f64 d d))) (/.f64 (fma.f64 c (/.f64 a d) b) d))))) |
(if (<=.f64 d #s(literal -14999999999999999831567468547825292232889880462623135604280018429599985818833024658754228498104565365070032132049551686088515334489814073344 binary64)) (/.f64 (fma.f64 a (/.f64 c d) b) d) (if (<=.f64 d #s(literal -290142196707511/9671406556917033397649408 binary64)) (/.f64 (+.f64 (*.f64 a c) (*.f64 b d)) (+.f64 (*.f64 c c) (*.f64 d d))) (if (<=.f64 d #s(literal 5771778251424973/19239260838083241802870625048898248928261591440656956380834127638791856333738872368854622194768025215237611323392 binary64)) (/.f64 (fma.f64 b (/.f64 d c) a) c) (if (<=.f64 d #s(literal 279999999999999982753398745367435344039751197269849681607260440781200390545708827776088718923309842543937443750998888058373096376644885544960 binary64)) (/.f64 (+.f64 (*.f64 a c) (*.f64 b d)) (+.f64 (*.f64 c c) (*.f64 d d))) (/.f64 (fma.f64 c (/.f64 a d) b) d))))) |
(if (<=.f64 d #s(literal -14999999999999999831567468547825292232889880462623135604280018429599985818833024658754228498104565365070032132049551686088515334489814073344 binary64)) (/.f64 (fma.f64 a (/.f64 c d) b) d) (if (<=.f64 d #s(literal -290142196707511/9671406556917033397649408 binary64)) (/.f64 (+.f64 (*.f64 c a) (*.f64 b d)) (+.f64 (*.f64 c c) (*.f64 d d))) (if (<=.f64 d #s(literal 5771778251424973/19239260838083241802870625048898248928261591440656956380834127638791856333738872368854622194768025215237611323392 binary64)) (/.f64 (fma.f64 b (/.f64 d c) a) c) (if (<=.f64 d #s(literal 279999999999999982753398745367435344039751197269849681607260440781200390545708827776088718923309842543937443750998888058373096376644885544960 binary64)) (/.f64 (+.f64 (*.f64 c a) (*.f64 b d)) (+.f64 (*.f64 c c) (*.f64 d d))) (/.f64 (fma.f64 c (/.f64 a d) b) d))))) |
(if (<=.f64 d #s(literal -3771848557197643/19342813113834066795298816 binary64)) (/.f64 (fma.f64 c (/.f64 a d) b) d) (if (<=.f64 d #s(literal 79999999999999995719222155803854345574979318317056 binary64)) (/.f64 (fma.f64 b (/.f64 d c) a) c) (/.f64 (fma.f64 c (/.f64 a d) b) d))) |
(if (<=.f64 d #s(literal -332454600394023/151115727451828646838272 binary64)) (/.f64 (fma.f64 a (/.f64 c d) b) d) (if (<=.f64 d #s(literal 10200000000000000196699275635471779940670838163898368 binary64)) (/.f64 (fma.f64 b (/.f64 d c) a) c) (/.f64 (fma.f64 a (/.f64 c d) b) d))) |
(if (<=.f64 c #s(literal -18999999999999999427829825536 binary64)) (/.f64 a c) (if (<=.f64 c #s(literal 6225763134767673/47890485652059026823698344598447161988085597568237568 binary64)) (/.f64 (fma.f64 a (/.f64 c d) b) d) (/.f64 a c))) |
(if (<=.f64 c #s(literal -1539999999999999995926173455899798038708938097686849643737841431693446282645821989105874417637907890439247947791635843005161486009377169753990452215808 binary64)) (/.f64 a c) (if (<=.f64 c #s(literal -8276949764193527/533996758980227520598755426542388028650676130589163192486760401955554931445160137505740521734144 binary64)) (/.f64 (fma.f64 b d (*.f64 a c)) (*.f64 c c)) (if (<=.f64 c #s(literal 8811849359978861/95780971304118053647396689196894323976171195136475136 binary64)) (/.f64 b d) (/.f64 a c)))) |
(if (<=.f64 c #s(literal -1539999999999999995926173455899798038708938097686849643737841431693446282645821989105874417637907890439247947791635843005161486009377169753990452215808 binary64)) (/.f64 a c) (if (<=.f64 c #s(literal -8276949764193527/533996758980227520598755426542388028650676130589163192486760401955554931445160137505740521734144 binary64)) (/.f64 (fma.f64 b d (*.f64 c a)) (*.f64 c c)) (if (<=.f64 c #s(literal 8811849359978861/95780971304118053647396689196894323976171195136475136 binary64)) (/.f64 b d) (/.f64 a c)))) |
(if (<=.f64 d #s(literal -6576556458703583/38685626227668133590597632 binary64)) (/.f64 b d) (if (<=.f64 d #s(literal 324922229779783/338460656020607282663380637712778772392143197677711984273740183180495765112991409062496875745134225841966700556811959451779072 binary64)) (/.f64 a c) (if (<=.f64 d #s(literal 1420000000000000054567690360153978219584541540623901085568341260858795381212064496965351363027109075913478822070321276692775401000860618063872 binary64)) (*.f64 (/.f64 d (fma.f64 d d (*.f64 c c))) b) (/.f64 b d)))) |
(if (<=.f64 d #s(literal -6576556458703583/38685626227668133590597632 binary64)) (/.f64 b d) (if (<=.f64 d #s(literal 324922229779783/338460656020607282663380637712778772392143197677711984273740183180495765112991409062496875745134225841966700556811959451779072 binary64)) (/.f64 a c) (if (<=.f64 d #s(literal 1420000000000000054567690360153978219584541540623901085568341260858795381212064496965351363027109075913478822070321276692775401000860618063872 binary64)) (*.f64 b (/.f64 d (fma.f64 d d (*.f64 c c)))) (/.f64 b d)))) |
(if (<=.f64 c #s(literal -124999999999999993673391912134252358370455626376676259135488 binary64)) (/.f64 a c) (if (<=.f64 c #s(literal -3807566061702267/559936185544451052639360570142111069530411374308662383724997275240947967795040236345219373317901778944 binary64)) (*.f64 c (/.f64 a (fma.f64 d d (*.f64 c c)))) (if (<=.f64 c #s(literal 5363734393030611/191561942608236107294793378393788647952342390272950272 binary64)) (/.f64 b d) (/.f64 a c)))) |
(if (<=.f64 d #s(literal -2030995376952577/9671406556917033397649408 binary64)) (/.f64 b d) (if (<=.f64 d #s(literal 549999999999999975003873838340241420593026678583721984 binary64)) (/.f64 a c) (/.f64 b d))) |
(/.f64 a c) |
| 8 926× | accelerator-lowering-fma.f32 |
| 8 926× | accelerator-lowering-fma.f64 |
| 7 688× | *-lowering-*.f32 |
| 7 688× | *-lowering-*.f64 |
| 7 676× | accelerator-lowering-fma.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 28 | 138 |
| 1 | 193 | 134 |
| 2 | 1875 | 130 |
| 0 | 8599 | 120 |
| 0 | 186 | 1356 |
| 1 | 618 | 1346 |
| 2 | 1892 | 1322 |
| 3 | 5763 | 1320 |
| 0 | 8185 | 1190 |
| 0 | 588 | 6721 |
| 1 | 1850 | 6465 |
| 2 | 5650 | 6296 |
| 0 | 8322 | 6084 |
| 0 | 699 | 6714 |
| 1 | 2378 | 6525 |
| 0 | 8635 | 6217 |
| 0 | 11 | 32 |
| 1 | 51 | 32 |
| 2 | 428 | 32 |
| 3 | 5062 | 32 |
| 0 | 8752 | 28 |
| 1× | fuel |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
Compiled 956 to 419 computations (56.2% saved)
Compiled 972 to 306 computations (68.5% saved)
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